Gravitation

GEOMETRODYNAMICS IN BRIEF
	CURVATURE OF A CYLINDER
	SPRING TIDE VS. NEAP TIDE
	KEPLER ENCAPSULATED
FOUNDATIONS OF SPECIAL RELATIVITY
	EXERCISE
	LOWERING INDEX TO GET THE 1-FORM CORRESPONDING TO A VECTOR
	RAISING INDEX TO RECOVER THE VECTOR
	VARIED ROUTES TO THE SCALAR PRODUCT
	ENERGY AND VELOCITY FROM 4-MOMENTUM
	TEMPERATURE GRADIENT
	BOOST IN AN ARBITRARY DIRECTION
THE ELECTROMAGNETIC FIELD
	EXERCISE
	TRANSFORMATION LAW FOR COMPONENTS OF A TENSOR
	RAISING AND LOWERING INDICES
	TENSOR PRODUCT
	BASIS TENSORS
	Faraday MACHINERY AT WORK
	MAXWELL'S EQUATIONS
	CONTRACTION IS FRAME-INDEPENDENT
	DIFFERENTIATION
	MORE DIFFERENTIATION
	SYMMETRIES
	SYMMETRIZATION AND ANTISYMMETRIZATION
	LEVI-CIVITA TENSOR
	DUALS
	GEOMETRIC VERSIONS OF MAXWELL EQUATIONS
	CHARGE CONSERVATION
	VECTOR POTENTIAL
	DIVERGENCE OF ELECTROMAGNETIC STRESS-ENERGY TENSOR
ELECTROMAGNETISM AND DIFFERENTIAL FORMS
	GENERIC LOCAL ELECTROMAGNETIC FIELD EXPRESSED IN SIMPLEST FORM
	FREEDOM OF CHOICE OF 1-FORMS IN CANONICAL REPRESENTATION OF GENERIC LOCAL FIELD
	A CLOSED OR CURL-FREE 1-FORM IS A GRADIENT
	CANONICAL EXPRESSION FOR A ROTATION-FREE 1-FORM
	FORMS ENDOWED WITH POLAR SINGULARITIES
	THE FIELD OF THE OSCILLATING DIPOLE
	THE 2-FORM MACHINERY TRANSLATED INTO TENSOR MACHINERY
	PANCAKING THE COULOMB FIELD
	COMPUTATION OF SURFACE INTEGRALS
	WHITAKER'S CALUMOID, OR, THE LIFE OF A LOOP
	DIFFERENTIAL FORMS AND HAMilTONIAN MECHANICS
	SYMMETRY OPERATIONS AS TENSORS
STRESS-ENERGY TENSOR AND CONSERVATION LAWS
	EXERCISE
	CHARGE CONSERVATION
	PARTICLE PRODUCTION
	INERTIAL MASS PER UNIT VOLUME
	DETERMINANTS AND JACOBIANS
	CENTROIDS AND SIZES
ACCELERATED OBSERVERS
	A TRIP TO THE GALACTIC NUCLEUS
	ROCKET PAYLOAD
	TWIN PARADOX
	RADAR SPEED INDICATOR
	RADAR DISTANCE INDICATOR
	CLOCK RATES VERSUS COORDINATE TIME IN ACCELERATED COORDINATES
	ACCELERATION OF LATTICE POINTS IN ACCELERATED COORDINATES
	OBSERVER WITH ROTATING TETRAD
	THOMAS PRECESSION
INCOMPATIBILITY OF GRAVITY AND SPECIAL RELATIVITY
	SCALAR GRAVITATIONAL FIELD,
	VECTOR GRAVITATIONAL FIELD,
	SYMMETRIC TENSOR GRAVITATIONAL FIELD, h =h
GRAVITATIONAL COLLAPSE
	PRACTICE WITH TENSOR ALGEBRA
	COMMUTATORS
	COMPONENTS OF LEVI-CIVITA TENSOR IN NONORTHONORMAL FRAME
	PRACTICE IN WRITING COMPONENTS OF GRADIENT
	A SHEET OF PAPER IN POLAR COORDINATES
	SPHERICAL COORDINATES IN FLAT SPACETIME
	SYMMETRIES OF CONNECTION COEFFICIENTS
	NEW DEFINITION OF T COMPARED WITH OLD DEFINITION
	CHAIN RULE FOR u T
	COVARIANT DERIVATIVE COMMUTES WITH CONTRACTION
	ALGEBRAIC PROPERTIES OF
	CONNECTION COEFFICIENTS FOR 1-FORM BASIS
	``T'' CORRECTION TERMS FOR T;
	METRIC IS COVARIANTLY CONSTANT
	CONNECTION COEFFICIENTS IN TERMS OF METRIC
	SOME USEFUL FORMULAS IN COORDINATE FRAMES
DIFFERENTIAL TOPOLOGY
	COMPONENT MANIPULATIONS
	COMPONENTS OF GRADIENT, AND DUALITY OF COORDINATE BASES
	PRACTICE MANIPULATING TANGENT VECTORS
	MORE PRACTICE WITH TANGENT VECTORS
	PICTURE OF BASIS 1-FORMS INDUCED BY COORDINATES
	PRACTICE WITH DUAL BASES
	PRACTICE WITH COMMUTATORS
	ANGULAR MOMENTUM OPERATORS
	COMMUTATORS AND COORDINATE-INDUCED BASES
	COMPONENTS OF COMMUTATOR IN NON-COORDINATE BASIS
	LIE DERIVATIVE
	A CHIP OFF THE OLD BLOCK
	ROTATION GROUP: GENERATORS
	ROTATION GROUP: STRUCTURE CONSTANTS
AFFINE GEOMETRY: GEODESICS, PARALLEL TRANSPORT, AND COVARIANT DERIVATIVE
	ADDITIVITY OF COVARIANT DIFFERENTIATION
	CHAIN RULE FOR COVARIANT DIFFERENTIATION
	ANOTHER CHAIN RULE
	STILL ANOTHER CHAIN RULE
	ONE MORE CHAIN RULE
	GEODESIC EQUATION
	COMPUTATION OF CONNECTION COEFFICIENTS
	CONNECTION FOR 1-FORM BASIS
	SYMMETRY OF CONNECTION COEFFICIENTS
	COMPONENTS OF GRADIENT
	DIVERGENCE
	VERIFICATION OF CHAIN RULE
	TRANSFORMATION LAW FOR CONNECTION COEFFICIENTS
	POLAR COORDINATES IN FLAT 2-DIMENSIONAL SPACE
	COMPONENTS OF PARALLEL-TRANSPORT LAW
	GEODESICS IN POLAR COORDINATES
	ROTATION GROUP: GEODESICS AND CONNECTION COEFFICIENTS
GEODESIC DEVIATION AND SPACETIME CURVATURE
	[A ,B]C DEPENDS ON DERIVATIVES OF C
	PROOF THAT RIEMANN IS A TENSOR
	COMPONENTS OF RIEMANN IN COORDINATE BASIS
	COMPONENTS OF RIEMANN IN NONCOORDINATE BASIS
	COPLANARITY OF CLOSED CURVES
	SYMMETRIES OF Riemann
	GEODESIC DEVIATION MEASURES ALL CURVATURE COMPONENTS
	GEODESIC DEVIATION IN GORY DETAIL
	RIEMANN NORMAL COORDINATES IN GENERAL
	BIANCHI IDENTITIES
	CURVATURE OPERATOR ACTS ON 1-FORMS
	ROTATION GROUP: RIEMANN CURVATURE
NEWTONIAN GRAVITY IN THE LANGUAGE OF CURVED SPACETIME
	RIEMANN CURVATURE OF NEWTONIAN SPACETIME
	NEWTONIAN FIELD EQUATION
	GEODESIC DEVIATION DERIVED
	CONNECTION COEFFICIENTS FOR ROTATING, ACCELERATING COORDINATES
	EINSTEIN'S ELEVATOR
	GEODESIC DEVIATION ABOVE THE EARTH
	FROM NEWTON TO CARTAN
	FROM CARTAN TO NEWTON
	SPATIAL METRIC ALLOWED BY OTHER AXIOMS
	SPACETIME METRIC FORBIDDEN BY OTHER AXIOMS
RIEMANNIAN GEOMETRY: METRIC AS FOUNDATION OF ALL
	TEST WHETHER SPACETIME IS LOCAL LORENTZ
	PRACTICE WITH METRIC
	MATHEMATICAL REPRESENTATION OF LOCAL LORENTZ FRAME
	CONSEQUENCES OF COMPATIBILITY BETWEEN g AND
	ONCE TIMELIKE, ALWAYS TIMELIKE
	SPACELIKE GEODESICS HAVE EXTREMAL LENGTH
	METRIC TENSOR MEASURED BY LIGHT SIGNALS AND FREE PARTICLES
	RIEMANN ANTISYMMETRIC IN FIRST TWO INDICES
	NUMBER OF INDEPENDENT COMPONENTS OF RIEMANN
	RIEMANN SYMMETRIC IN EXCHANGE OF PAIRS; COMPLETELY ANTISYMMETRIC PART VANISHES
	DOUBLE DUAL OF RIEMANN: EINSTEIN
	RICCI AND EINSTEIN RELATED
	THE WEYL CONFORMAL TENSOR
	INERTIAL AND CORIOLIS FORCES
	ROTATION GROUP: METRIC
CALCULATION OF CURVATURE
	CURVATURE OF A TWO-DIMENSIONAL HYPERBOLOID
	RIEMANNIAN CURVATURE EXPRESSIBLE IN TERMS OF RICCI CURVATURE IN TWO AND THREE DIMENSIONS
	CURVATURE OF 3-SPHERE IN ORTHONORMAL FRAME
	EINSTEIN EQUATIONS FOR THE CLOSED FRIEDMANN UNIVERSE CALCULATED BY USING THE GEODESIC LAGRANGIAN METHOD
	EXTERIOR DERIVATIVE OF A PRODUCT OF FORMS
	RELATIONSHIP BETWEEN EXTERIOR DERIVATIVE AND COMMUTATOR
	CHRISTOFFEL FORMULA DERIVED FROM CONNECTION FORMS
	RIEMANN-CHRISTOFFEL CURVATURE FORMULA RELATED TO CURVATURE FORMS
	MATRIX NOTATION FOR REVIEW OF CARTAN STRUCTURE EQUATIONS
	TRANSFORMATION RULES FOR CONNECTION FORMS IN COMPACT NOTATION
	SPACE IS FLAT IF THE CURVATURE VANISHES
	SYSTEMATIC COMPUTATION OF CONNECTION FORMS IN ORTHONORMAL FRAMES
	SCHWARZSCHILD CURVATURE FORMS
	MATRIX DISPLAY OF THE RIEMANN-TENSOR COMPONENTS
	RIEMANN MATRIX WITH VANISHING EINSTEIN TENSOR
	COMPUTATION OF CURVATURE FOR A PULSATING OR COLLAPSING STAR
	BIANCHI IDENTITY IN dR = 0 FORM
	LOCAL CONSERVATION OF ENERGY AND MOMENTUM: d[*]T = 0 MEANS T = 0
BIANCHI IDENTITIES AND THE BOUNDARY OF A BOUNDARY
	THE BOUNDARY OF THE BOUNDARY OF A 4-SIMPLEX
	THE BEL-ROBINSON TENSOR
EQUIVALENCE PRINCIPLE AND MEASUREMENT OF GRAVITATIONAL FIELD
	HYDRODYNAMICS IN A WEAK GRAVITATIONAL FIELD
	WORLD LINES OF PHOTONS
	NONCOM MUTATION OF COVARIANT DERIVATIVES
	PRECESSION OF THE EQUINOXES
	GRAVITY GRADIOMETER
HOW MASS-ENERGY GENERATES CURVATURE
	UNIQUENESS OF THE EINSTEIN TENSOR
	NO TENSOR CONSTRUCT ABLE FROM FIRST DERIVATIVES OF METRIC
	RIEMANN AS THE ONLY TENSOR CONSTRUCTABLE FROM, AND LINEAR IN SECOND DERIVATIVES OF METRIC
	UNIQUENESS OF THE EINSTEIN TENSOR
	MAGNITUDE OF COSMOLOGICAL CONSTANT
	RAMIFICATIONS OF CORRESPONDENCE FOR GRAVITY IN A PASSIVE ROLE
	CORRESPONDENCE IN THE LANGUAGE OF CURVED SPACETIME
	EINSTEIN-FOKKER REDUCES TO NORDSTROM
WEAK GRAVITATIONAL FIELDS
	GAUGE INVARIANCE OF THE RIEMANN CURVATURE
	JUSTIFICATION OF LORENTZ GAUGE
	EXTERNAL FIELD OF A STATIC, SPHERICAL BODY
	SPACETIME CURVATURE FOR A PLANE GRAVITATIONAL WAVE
	A PRIMITIVE GRAVITATIONAL-WAVE DETECTOR
	BENDING OF LIGHT BY THE SUN
	GRAVITATIONAL REDSHIFT
MASS AND ANGULAR MOMENTUM OF A GRAVITATING SYSTEM
	DERIVATION OF METRIC FAR OUTSIDE A WEAKLY GRAVITATING BODY
	GYROSCOPE PRECESSION
	GRAVITATIONAL FIELD FAR FROM A STATIONARY, FUllY RELATIVISTIC SOURCE
CONSERVATION LAWS FOR 4-MOMENTUM AND ANGULAR MOMENTUM
	FLUX INTEGRAL FOR TOTAL MASS-ENERGY IN LINEARIZED THEORY
	FLUX INTEGRAL FOR ANGULAR MOMENTUM IN LINEARIZED THEORY
	FLUX INTEGRALS FOR AN ARBITRARY STATIONARY SOURCE
	FORM OF HL-L FAR FROM SOURCE
	TOTAL MASS-ENERGY IN NEWTONIAN LIMIT
	SIMPLE FEATURES OF THE ELECTROMAGNETIC FIELD AND ITS STRESS-ENERGY TENSOR
	THE STRESS-ENERGY TENSOR DETERMINES THE ELECTROMAGNETIC FIELD EXCEPT FOR ITS COMPLEXION
	THE MAXWELL EQUATIONS CANNOT BE DERIVED FROM THE LAW OF CONSERVATION OF STRESS-ENERGY WHEN (EB) = 0 OVER AN EXTENDED REGION
	EQUATION OF MOTION OF A SCALAR FIELD AS CONSEQUENCE OF THE EINSTEIN FIELD EQUATION
VARIATIONAL PRINCIPLE AND INITIAL-VALUE DATA
	VARIATION OF THE DETERMINANT OF THE METRIC TENSOR
	STRESS-ENERGY TENSOR FOR A SCALAR FIELD
	FARADAY-MAXWELL STRESS-ENERGY TENSOR
	SCALAR CURVATURE INVARIANT IN TERMS OF AREA DEFICIT
	EXTRINSIC CURVATURE TENSOR FOR SLICE OF FRIEDMANN GEOMETRY
	EVALUATION OF R(ei, ej)n
	EVALUATION OF THE COMMUTATOR [ej,n]
	LIE DERIVATIVE OF A TENSOR
	EXPRESSION FOR DYNAMIC COMPONENTS OF THE CURVATURE TENSOR
	EXPRESSION OF [(4)]Rinin IN TERMS OF EXTRINSIC CURVATURE, PLUS A COVARIANT DIVERGENCE
	FIRST EXPLOITATION OF THE ADM VARIATIONAL PRINCIPLE FOR THE ELECTROMAGNETIC FIELD
	SECOND EXPLOITATION OF THE ADM VARIATIONAL PRINCIPLE FOR THE ELECTROMAGNETIC FIELD
	FARADAY-MAXWELL SOURCE TERM IN THE DYNAMIC EQUATIONS OF GENERAL RELATIVITY
	THE CHOICE OF  DOESN'T MATTER
	THE CHOICE OF SLICING OF SPACETIME DOESN'T MATTER
	POOR MAN'S WAY TO DO COSMOLOGY
	THIN-SANDWICH VARIATIONAL PRINCIPLE FOR THE SCALAR POTENTIAL IN ELECTRODYNAMICS
	THIN-SANDWICH VARIATIONAL PRINCIPLE FOR THE LAPSE AND SHIFT FUNCTIONS IN GEOMETRODYNAMICS
	CONDENSED THIN-SANDWICH VARIATIONAL PRINCIPLE
	POOR MAN'S WAY TO SCHWARZSCHILD GEOMETRY
	WHY THE WEYL CONFORMAL CURVATURE TENSOR VANISHES
	YORK'S CURVATURE
	PULLING THE POYNTING FLUX VECTOR ``OUT OF THE AIR''
	THE EXTREMAL ACTION ASSOCIATED WITH THE HILBERT ACTION PRINCIPLE DEPENDS ON CONFORMAL 3-GEOMETRY AND EXTRINSIC TIME
	EQUATION OF MOTION FOR A SURFACE LAYER
	THIN SHELLS OF DUST
	SPHERICAL SHELL OF DUST
THERMODYNAMICS, HYDRODYNAMICS, ELECTRODYNAMICS, GEOMETRIC OPTICS, AND KINETIC THEORY
	DIVERGENCE OF FLOW LINES PRODUCES VOLUME CHANGES
	EQUATION OF CONTINUITY
	CHEMICAL POTENTIAL FOR IDEAL FERMI GAS
	PROJECTION TENSORS
	PRESSURE GRADIENT IN STATIONARY GRAVITATIONAL FIELD
	EXPANSION, ROTATION, AND SHEAR
	HYDRODYNAMICS WITH VISCOSITY AND HEAT FLOW
	THE VECTOR POTENTIAL FOR ELECTRODYNAMICS
	CHARGE CONSERVATION IN THE PRESENCE OF GRAVITY
	INTERACTING ELECTROMAGNETIC FIELD AND CHARGED MATTER
	ELECTROMAGNETIC FIELD AND STRESS ENERGY
	POLARIZATION
	THE AREA OF A BUNDLE OF RAYS
	FOCUSING THEOREM
	INVERSE SQUARE LAW FOR FLUX
	BRIGHTNESS OF THE SUN
	BLACK BODY RADIATION
	STRESS-ENERGY TENSOR
	KINETIC THEORY FOR NONIDENTICAL PARTICLES
SPHERICAL STARS
	ISOTROPIC COORDINATES AND NEWTONIAN LIMIT
	PROPER REFERENCE FRAMES OF FLUID ELEMENTS
	LAW OF LOCAL ENERGY-MOMENTUM CONSERVATION
	EINSTEIN CURVATURE TENSOR
	TOTAL NUMBER OF BARYONS IN A STAR
	BUOYANT FORCE IN A STAR
	GRAVITATIONAL ENERGY OF A NEWTONIAN STAR
	NEWTONIAN STARS OF UNIFORM DENSITY
	GOOD BEHAVIOR OF r EXERCISES
	CENTER OF STAR OCCUPIED BY IDEAL FERMI GAS AT EXTREME RELATIVISTIC LIMIT
PARTICLE MOTION IN SCHWARZSCHILD GEOMETRY
	CONSTANT OF MOTION OBTAINED FROM HAMIlTON'S PRINCIPLE
	SUPER-HAMilTONIAN FORMALISM FOR GEODESIC MOTION
	KILLING VECTORS IN FLAT SPACETIME
	POISSON BRACKET AS KEY TO CONSTANTS OF MOTION
	COMMUTATOR OF Killing VECTORS IS A Killing VECTOR
	EIGENVALUE PROBLEM FOR KIllING VECTORS
	RADIAL VELOCITY OF A TEST PARTICLE
	ROTATIONAL KILLING VECTORS FOR SCHWARZSCHILD GEOMETRY
	CONSERVATION OF TOTAL ANGULAR MOMENTUM OF A TEST PARTICLE
	SELECTING EQUATION BY SELECTING WHAT IS VARIED
	MOTION DERIVED FROM SUPER-HAMILTONIAN
	REDSHIFT BY TIMED PULSES
	QUALITATIVE FORMS OF PARTICLE ORBITS
	IMPACT PARAMETER
	TIME TO FALL TO r = 2M
	PERIASTRON SHIFT FOR NEARLY CIRCULAR ORBITS
	ANGULAR MOTION DURING INFALL
	MAXIMUM AND MINIMUM OF EFFECTIVE POTENTIAL
	KEPLER LAW VALID FOR CIRCULAR ORBITS
	HAMILTON-JACOBI FUNCTION
	DEFLECTION BY GRAVITY CONTRASTED WITH DEFLECTION BY ELECTRIC FORCE
	CAPTURE BY A BLACK HOLE
	QUALITATIVE FORMS OF PHOTON ORBITS
	LIGHT DEFLECTION
	CAPTURE OF LIGHT BY A BLACK HOLE
	RETURN OF LIGHT FROM A BLACK HOLE
	ISOTROPIC STAR CLUSTER
	SELF-SIMILAR CLUSTER
	CLUSTER WITH CIRCULAR ORBITS
STELLAR PULSATIONS
	DRAGGING OF INERTIAL FRAMES BY A SLOWLY ROTATING STAR
IDEALIZED COSMOLOGIES
	ISOTROPY IMPLIES HOMOGENEITY
	SYNCHRONOUS COORDINATES IN GENERAL
	ARBITRARINESS IN THE EXPANSION FACTOR
	UNIQUENESS OF METRIC FOR 3-SURFACE OF CONSTANT CURVATURE
	METRIC FOR 3-SURFACE OF CONSTANT CURVATURE
	PROPERTIES OF THE 3-SURFACES
	ISOTROPY IMPLIES HOMOGENEITY
	MATTER-DOMINATED AND RADIATION-DOMINATED REGIMES Of FRIEDMANN COSMOLOGY
	TRANSITION FROM RADIATION-DOMINATED REGIME TO MATTER-DOMINATED REGIME
	THE EXPANDING AND RECONTRACTING SPHERICAL WAVE FRONT
	ON SEEING THE BACK OF ONE'S HEAD
	DO THE CONSERVATION LAWS FORBID THE PRODUCTION OF PARTICLE-ANTIPARTICLE PAIRS OUT OF EMPTY SPACE BY TIDAL GRAVITATION FORCES?
	TURN-AROUND UNIVERSE MODEL NEGLECTING MATTER DENSITY
	``HESITATION'' UNIVERSE
	UNIVERSE OPAQUE TO BLACK-BODY RADIATION AT A NONSINGULAR PAST TURN-AROUND REQUIRES IMPOSSIBLE PARAMETERS
EVOLUTION OF THE UNIVERSE INTO ITS PRESENT STATE
	UNCERTAINTY IN EVOLUTION
PRESENT STATE AND FUTURE EVOLUTION OF THE UNIVERSE
	IMPLICATIONS OF PARAMETER VALUES
	ALTERNATIVE DERIVATION OF REDSHIFT
	REDSHIFT OF PARTICLE DE BROGLIE WAVELENGTHS
	m(z) DERIVED USING STATISTICAL PHYSICS
	DOPPLER SHIFT VERSUS COSMOLOGICAL REDSHIFT
	SOURCE COUNTS
	COSMIC-RAY DENSITY
	FRACTION OF SKY COVERED BY GALAXIES
SCHWARZSCHILD GEOMETRY
	TIDAL FORCES ON IN FALLING EXPLORER
	NONRADIAL LIGHT CONES
	THE CRACK OF DOOM
	HOW LONG TO LIVE?
	EDDINGTON-FINKELSTEIN AND KRUSKAL-SZEKERES COMPARED
	ANOTHER COORDINATE SYSTEM
	SCHWARZSCHILD METRIC IN ISOTROPIC COORDINATES
	REISSNER-NORDSTROM GEOMETRY
GRAVITATIONAL COLLAPSE
	UNIQUENESS OF REISSNER-NORDSTROM GEOMETRY
	REDSHIFTS DURING COLLAPSE
	EMBEDDING DIAGRAMS AND PHOTON PROPAGATION FOR COLLAPSING STAR
	MATCH OF FRIEDMANN INTERIOR TO SCHWARZSCHILD EXTERIOR
	STARS THAT COLLAPSE FROM INFINITY
	GENERAL SPHERICAL COLLAPSE: METRIC IN COMOVING COORDINATES
	ADIABATIC SPHERICAL COLLAPSE: EQUATIONS OF EVOLUTION
	ANALYTIC SOLUTIONS FOR PRESSURE-FREE COLLAPSE
	COLLAPSE WITH UNIFORM DENSITY
	PRICE'S THEOREM FOR A SCALAR FIELD
	NEWMAN-PENROSE ``CONSTANTS''
BLACK HOLES
	KERR DESCRIPTION OF KILLING VECTORS
	OBSERVATIONS OF ANGULAR VELOCITY
	LOCALLY NONROTATING OBSERVERS
	ORTHONORMAL FRAMES OF LOCALLY NONROTATING OBSERVERS
	LOCAL LIGHT CONES
	SUPERHAMllTONIAN FOR CHARGED-PARTICLE MOTION
	HAMILTON-JACOBI DERIVATION OF EQUATIONS OF MOTION
	KERR-SCHILD COORDINATES
	NULL GENERATORS OF HORIZON
	ANGULAR MOMENTUM VECTOR FOR IN FALLING PARTICLE
	IRREDUCIBLE MASS IS IRREDUCIBLE
	SURFACE AREA OF A BLACK HOLE
	ANGULAR VELOCITY OF A BLACK HOLE
	SEPARATION OF VARIABLES FOR WAVE EQUATIONS
GLOBAL TECHNIQUES, HORIZONS, AND SINGULARITY THEOREMS
	FLAT SPACETIME IN , , ,  COORDINATES
	SCHWARZSCHILD SPACETIME IN , , ,  COORDINATES
	REISSNER-NORDSTROM SPACETIME
	A BLACK HOLE CAN NEVER BIFURCATE
PROPAGATION OF GRAVITATIONAL WAVES
	TRANSFORMATION OF PLANE WAVE TO TT GAUGE
	LIMITATION ON EXISTENCE OF TT GAUGE
	A CYLINDRICAL GRAVITATIONAL WAVE
	NON-TT PARTS OF METRIC PERTURBATION
	ALTERNATIVE CALCULATION OF RELATIVE OSCILLATIONS
	ROTATIONAL TRANSFORMATIONS FOR POLARIZATION STATES
	ELLIPTICAL POLARIZATION
	GLOBALLY WELL-BEHAVED COORDINATES FOR PLANE WAVE
	GEODESIC COMPLETENESS FOR PLANE-WAVE MANIFOLD
	PLANE WAVE WITH TWO POLARIZATIONS PRESENT
	CONNECTION COEFFICIENTS AND CURVATURE TENSORS FOR A PERTURBED METRIC
	GAUGE TRANSFORMATIONS IN A CURVED BACKGROUND
	TRANSVERSE-TRACELESS GAUGE FOR GRAVITATIONAL WAVES PROPAGATING IN A CURVED BACKGROUND
	BRILL-HARTLE AVERAGE
	GEOMETRIC OPTICS
	GRAVITONS
	GRAVITATIONAL DEFLECTION OF GRAVITATIONAL WAVES
	GAUGE INVARIANCE OF T(GW)
	T(GW) EXPRESSED AS THE AVERAGE OF A STRESS-ENERGY PSEUDOTENSOR
	SHORTWAVE APPROXIMATION FROM A VARIATIONAL VIEWPOINT
GENERATION OF GRAVITATIONAL WAVES
	GRAVITATIONAL WAVES FROM ROTATING BEAM
	GRAVITATIONAL WAVES FROM MATTER FALLING INTO A BLACK HOLE
	GRAVITATIONAL WAVES FROM A VIBRATING NEUTRON STAR
	PULSAR SLOWDOWN
	ENERGY AND ANGULAR MOMENTUM LOSSES DUE TO RADIATION REACTION
	GRAVITATIONAL WAVES FROM BINARY STAR SYSTEMS
	MAGNITUDE OF t
	PROOF THAT THE TRANVERSE TRACELESS PARTS OF
	ENERGY AND ANGULAR MOMENTUM RADIATED
DETECTION OF GRAVITATIONAL WAVES
	GENERAL PLANE WAVE IN TT GAUGE
	TEST-PARTICLE MOTION IN PROPER REFERENCE FRAME
	CONNECTION COEFFICIENTS IN PROPER REFERENCE FRAME
	WHY THE a x ?
	ORIENTATION OF POLARIZATION DIAGRAM
	RELATIVE MOTION OF FREELY FALLING BODIES AS A DETECTOR OF GRAVITATIONAL WAVES
	EARTH-MOON SEPARATION AS A GRAVITATIONAL-WAVE DETECTOR
	POWER RERADIATED
	CROSS SECTIONS CALCULATED BY DETAILED BALANCE
	NORMAL-MODE ANALYSIS OF VIBRATING, RESONANT DETECTORS
	SPECTRUM OF ENERGY RADIATED BY A SOURCE
	PATTERNS OF EMISSION AND ABSORPTION
	MULTIMODE DETECTOR
	CROSS SECTION OF IDEALIZED MODEL OF EARTH FOR ABSORPTION OF GRAVITATIONAL RADIATION
OTHER THEORIES OF GRAVITY AND POST-NEWTONIAN APPROXIMATION
	ORDERS OF MAGNITUDE IN GRAVITATIONALLY BOUND SYSTEMS
	PATTERN OF TERMS IN POST-NEWTONIAN EXPANSION
	NEWTONIAN APPROXIMATION
	A USEFUL FORMULA
	STRESS TENSOR FOR NEWTONIAN GRAVITATIONAL FIELD
	NEWTONIAN VIRIAL THEOREMS
	PULSATION FREQUENCY FOR NEWTONIAN STAR
	ABSENCE OF ``METRIC-GENERATES-METRIC'' TERMS IN POST-NEWTONIAN LIMIT
	REMOVAL OF  TERM FROM g00
	VERIFICATION OF FORMS OF POST-NEWTONIAN CORRECTIONS
	TRANSFORMATION TO MOVING FRAME
	THE TRANSFORMATION BETWEEN COMOVING FRAME AND PPN FRAME
	EQUATIONS OF MOTION
	POST-NEWTONIAN APPROXIMATION TO GENERAL RELATIVITY
	MANY-BODY SYSTEM IN POST-NEWTONIAN LIMIT OF GENERAL RELATIVITY
SOLAR-SYSTEM EXPERIMENTS
	PPN METRIC FOR IDEALIZED SUN
	TRAJECTORY OF LIGHT RAY IN SUN'S GRAVITATIONAL FIELD
	FERMAT'S PRINCIPLE
	DERIVATION OF PERIHELION SHIFT IN PPN FORMALISM
	PERIHELION SHIFT FOR OBLATE SUN
	PRECESSIONAL ANGULAR VELOCITY
	OFF-DIAGONAL TERMS IN METRIC ABOUT THE EARTH
	SPIN-CURVATURE COUPLING
	CAVENDISH CONSTANT FOR IDEALIZED SUN
	CAVENDISH CONSTANT FOR ANY BODY
SPINORS
	ELEMENTARY FEATURES OF THE ROTATION MATRIX
	ROTATION MATRIX HAS UNIT DETERMINANT
	MORE PROPERTIES OF THE ROTATION MATRIX
SUPERSPACE ARENA FOR THE DYNAMICS OF GEOMETRY
	THE ACTION PRINCIPLE FOR A FREE PARTICLE IN NON RELATIVISTIC MECHANICS
	THE ACTION FOR THE HARMONIC OSCILLATOR
	QUANTUM PROPAGATOR FOR HARMONIC OSCILLATOR
	QUANTUM PROPAGATOR FOR FREE ELECTROMAGNETIC FIELD
	HAMILTON-JACOBI FORMULATION OF MAXWELL ELECTRODYNAMICS