Modern Relativity

The following is a page index for Einstein's relativistic physics theory related terms. The terms as used on the pages are listed alphabeticaly. The page number that it appears on is listed and the link to that page number is named with an equivalent term on the right of the page number.

acceleration

coordinate 29 acceleration, 61-62 coordinate acceleration, 93 coordinate frame acceleration, 107-108 acceleration according to the lab frame, 118-120 lab frame acceleration, 124-125 observer's acceleration, 163 ordinary acceleration, 174 acceleration according to the inertial frame, 176 frame's acceleration

four-vector 22 four-vector acceleration, 28 acceleration 4-vector, 52 vector acceleration, 54 tensor acceleration, 59-60 acceleration tensor, 116 acceleration vector

proper 29 proper acceleration, 59-61 proper frame acceleration, 72 invariant acceleration, 108 instantaneous rest frame

affine connections 48 Christoffel Symbols

Alcubierre warp drive 164-174 warp drive

Alcubierre-Broeck warp drive 166 Alcubierre, 174 Van Den Broeck

Bianchi identities 70 Bianchi, 75 Bianchi identities

big bang 89 big bang, 91 big bang universe

Birkoff theorem 141 Birkoff theorem

black hole

Schwarzschild 111-126 black hole, 137-141 Schwarzschild, 144-148 Schwarzschild black hole

Radiative Vaidya and Waite solutions 141 Vaidya

Reissner-Nordstrom 131 Reissner-Nordstrom, 136 charged black hole

Kerr 130 Kerr hole, 140 Kerr black hole

Kerr-Newman 127-135 Kerr-Newman, 140 Kerr-Newman black hole, 149 charged rotating black hole

Boyer-Lindquist coordinates 128 Boyer-Lindquist

Casimir effect negative energy effect, see energy negative Casimir

centrifugal pseudo-force see fictitious forces

charged black hole, see black hole Reissner-Nordstrom

CERN 26 CERN

charged rotating black hole, see black hole Kerr-Newman

Christoffel symbols, see affine connections

closed universe, see universe closed Vs open

comoving frames 71 comoving, 90 frame, 93 comoving frame

conservation of energy-momentum 65 conservation, 77-78 energy

conserved parameters of geodesic motion 65 conserved

coordinate velocity, see velocity coordinate

Coriolis pseudo-force see fictitious forces

cosmic string 136 cosmic string, radiating line of negligible mass and charge 141 radiating

cosmological constant 70-80 cosmological constant, 91 dark energy

covariant derivative 48-49 covariant derivative, 54 Christoffel symbols

critical mass for universe closure, see universe critical density of

curvature

Gaussian 67-68 curvature, 70 gaussian, 89-92 gaussian curvature

of the Universe, see universe negative curved, universe positive curved

Riemannian 45 Riemann curvature tensor, 68-70 Riemann curvature, 72-74 spacetime curvature

dark energy, see cosmological constant

dark matter 91 dark matter

deflection of light , see light deflection

Delta Kronecker, see Kronecker delta

density of matter in the universe 91-92 universe

divergence 78-79 divergence

domain wall 96 domain wall

Doppler shift 33-35 Doppler shift, 95 in modern physics

dot produce, see scalar product

Einstein field equations 75-80 field equations, 97 Einstein field equations, 104 for modern physics, 156 law of gravity

Einstein summation convention - Preface

Einstein-Rosen bridge 147 Einstein-Rosen bridge

Einstein tensor 76 Einstein tensor, 78 Einstein curvature tensor, 153-154 in Einstein's field equations, 178 Einstein's equations, 181 for physics

electrically charged rotating black hole, see black hole Kerr-Newman

energy in gravity waves 97 gravity waves, 100 gravity wave energy, 102-103 gravity energy tensor

energy-momentum conservation 78 momentum

energy-momentum four-vector 21 four-vector momentum, 23-24 momentum 4-vector, 27-30 momentum four-vector, 51-55 momentum vector, 57 vector momentum, 59-60 momentum tensor, 63 four momentum

energy negative

Casimir etc... 143-144 Casimir effect, 154 Casimir energy, 157 in physics, 164-165 Casimir, 167-169 in quantum mechanics, 171 negative energy, 173 exotic matter

gravitational field 109 gravitational field

equivalence principle

levels of equivalence 38-39 equivalence principle, 86 in theory

of gravitational and inertial mass 38 mass energy equivalence, 118 mass energy, 120-121 gravitational and inertial

ergosphere 130 ergosphere

Euclerian observer 171 Euclerian observer

Euclidean space , see spacetimes Euclidean

event 1 event, 5-6 event in spacetime, 8 event in relativity, 13-16 definition of an event, 25 for special relativity

event horizon 115-117 event horizon, 129-131 horizon, 136-138 Schwarzschild radius, 140 light can not escape, 145 point of no return, 154 black hole, 165 from general relativity, 169-170 caunchy horizon, 179 no escape

expansion of the universe 89-95 expansion of the universe, 180 universal expansion

faster than light (FTL) , see superluminal

fictitious forces see aslo gravitational pseudo-force

centrifugal 71 centrifugal, 80 fictitious force, 108 centrifugal force

Coriolis 80 coriolis force, 108 coriolis

transverse 80 transverse force, 108 transverse fictitious force

flat space 68 flat space, 92 flat spacetime

force

four-vector, see four-vector force

ordinary 27-29 force, 54 ordinary force, 84 Newton's 2nd law

four-vector

acceleration, see acceleration four-vector

definition of 40 4-vector

force 22 four force, 27-28 4-force, 52 force four-vector, 54-55 force 4-vector, 57 4-vector force, 59 four-vector force, 60-63 force tensor, 84-85 tensor force, 87 four-force, 116 in modern physics, 118 for general relativity

momentum 23 four momentum, 27-29 4-momentum, 51-55 momentum four-vector, 57 momentum 4-vector, 59-60 4-vector momentum, 63 four-vector momentum

velocity 22-24 four velocity, 28 4-velocity, 30 velocity four-vector, 51-54, 57-62 velocity 4-vector, 72 4-vector velocity, 108 four-vector velocity, 116 for modern physics, 171 for general relativity

FTL (faster than light) , see superluminal

Galilean transformation equations 3 Galilean transformation

Gaussian curvature, see curvature Gaussian

general principle of relativity 39-40 principle of relativity

geodesic 56-58 geodesic motion, 107 geodesic equation, 131 geodesic, 147 shortest path through spacetime, 156 free fall acceleration, 172 acceleration due to gravity,

gravitational field

as affine connections 182 affine connection

gravitational mass , see mass gravitational

gravitational pseudo-force 43 gravitational force, 72-73 gravity

gravitational potential 43 gravitational potential, 79 gravity potential, 104-109 gravitoelectromagnetism, 114 Schwarzschild gravitational potential, 182 gravity potential

gravity waves 97-103 gravity waves, 141 gravitational waves

Hawking radiation 137-141 Hawking Radiation

horizon, see event horizon

Hubble's "constant" 93-96 Hubble's constant

Hubble's law 93 Hubble's law

hypersurface 147 hypersurface

inertial frame 1 inertial frame, 8 inertial coordinate frame, 12-13 unaccelerated frame, 39 inertial frame observer, 64 Lorentz frame, 71 inertial observer frame