Trin Tragula General Relativity - Invidious

Trin Tragula General Relativity

General relativity, step by step. This is a mathematical description of the nuts-and-bolts of Einstein's general theory of relativity, with no gaps. I am concentrating on the nitty-gritty of tensor calculus including detailed derivations of tensor algebra, Christoffel symbols, and the Riemann curvature tensor. I will discuss black holes in some detail (the Schwarzschild metric), and plan to add discussion of gravitational waves and cosmology.

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26:54

GRSS027 raising and lowering indices (replacement)

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7:44

GRSS 158 black holes modification to flat space

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738 views

4:45

GRSS 009 contravariant vector components

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2.3K views

7:15

GRSS 189 Kruskal Szekeres part five

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1K views

5:37

GRSS 133 Riemann revisited

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481 views

7:56

cos 22 radial light rays and cosmological redshift part one

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186 views

12:31

cos 16 solutions for q using the Einstein field equations

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383 views

14:14

cos 26 equation of state part one

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174 views

13:09

cos 27 equation of state part two

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154 views

4:16

cos 34 density deficit of the universe

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186 views

13:10

cos 24 cosmological redshift using linear approximation

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203 views

6:10

cos 31 Friedmann equation

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562 views

6:17

cos 19 flat space might have nontrivial global topology

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168 views

8:54

cos 25 Einstein field equations for a needs an equation of state

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218 views

5:10

cos 10 Ricci tensor components in civilized form

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548 views

4:40

cos 30 equation of state for a photon gas

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343 views

1:47

cos 13 stress energy scalar

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153 views

11:35

cos 18 nonstandard topological embeddings of knots

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214 views

4:35

cos 21 universe with saddle like curvature solution

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148 views

9:07

cos 17 closed universe has spherical geometry

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262 views

9:41

cos 06 trial metric for the cosmos

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333 views

1:52

cos 38 vacuum dominated universe

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240 views

17:31

cos 14 Ricci tensor with one upstairs and one downstairs index

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259 views

10:46

cos 29 equation of state part four interpretation

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167 views

7:15

cos 03 universal time coordinate in cosmology

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413 views

3:56

cos 36 radiation dominated universe

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355 views

18:03

cos 09 Riemann Christoffel curvature tensor by hand

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903 views

2:41

cos 37 matter dominated universe

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361 views

5:44

cos 08 Ricci tensor for the trial metric

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444 views

6:02

cos 32 Friedmann equation with equation of state

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673 views

6:04

cos 33 critical density of the universe determines its curvature

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379 views

6:11

cos 15 equation for q derived from Einstein field equations

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Shared 6 years ago

199 views

4:56

cos 01 sign conventions and uniformity of the cosmological fluid

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Shared 6 years ago

640 views

12:22

cos 12 stress energy tensor with one downstairs index

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254 views

3:56

cos 35 Friedmann equations in form suitable for solution

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Shared 6 years ago

708 views

6:57

cos 11 Einstein field equations with total stress energy

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386 views

4:23

cos 02 homogeneity and isotropy of the universe

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691 views

5:55

cos 23 cosmological redshift part two

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Shared 6 years ago

154 views

7:14

cos 28 equation of state part three

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Shared 6 years ago

145 views

0:55

cos 00 introduction

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Shared 6 years ago

1.3K views

6:27

cos 20 circumference of circle radius r is less than 2 pi r

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216 views

9:11

cos 07 Christoffel symbols for the trial metric

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851 views

9:41

cos 04 comoving distance

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2K views

2:43

cos 05 Hubble expansion

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Shared 6 years ago

302 views

9:34

GRSS 155 Einstein field equations part seventeen

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Shared 7 years ago

507 views

8:18

GRSS 027 raising and lowering indices

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Shared 7 years ago

3.7K views

3:59

GW 039 evaluation of the Riemann tensor in a GW part one

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Shared 7 years ago

227 views

7:35

GW 038 further simplification of the Riemann tensor in a GW

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Shared 7 years ago

213 views

8:28

GW 042 form of a gravitational wave

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Shared 7 years ago

285 views

12:20

GW 021 solutions to the wave equation

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Shared 7 years ago

487 views

13:07

GW 035 no time dilation in a GW

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Shared 7 years ago

275 views

10:36

GW 043 numerical simulation of a gravitational wave

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Shared 7 years ago

522 views

10:20

GW 036 tidal accelerations in a GW using the Riemann tensor

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Shared 7 years ago

302 views

6:12

GW 040 evaluation of the Riemann tensor in a GW part two

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Shared 7 years ago

214 views

7:32

GW 041 evaluation of the Riemann tensor in a GW part three

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Shared 7 years ago

261 views

12:03

GW 024 additional gauge transformation TT gauge

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Shared 7 years ago

565 views

7:09

GW 037 simplification of the Riemann tensor in a GW

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Shared 7 years ago

247 views

6:07

GW 020 gravitational waves in wave equation form

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Shared 7 years ago

778 views

5:02

GW 012 trace reversed perturbation h ab

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Shared 7 years ago

1K views

3:48

GW 023 gravitational waves relation between A and k

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Shared 7 years ago

390 views