General Relativity
By Camilo Arias Abad, Alexander Quintero Vélez, Juan Diego Vélez Caicedo
Length15h 59m
About this audiobook
Aimed at readers with a mathematical background, this text offers an introduction to the general theory of relativity. The book is structured in four parts: Geometry, Electromagnetism and Special Relativity, Gravity and Curvature, and Solutions to Einstein's Equations. Each part is designed to build progressively on the previous ones, and attempts to combine mathematical rigor and physical insight.
This text is suitable for advanced undergraduates, graduate students, and researchers who are looking for a well-rounded and rigorous exploration of general relativity. Whether used as a course textbook or for independent study, it provides a pathway into one of the most profound theories in physics.
Audiobook details
GenreScience and Nature
Length15 hrs 59 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateApr 22, 2025
LanguageSpanish
Table of contents
1General Relativity
21 recurso en l´ınea (393 p´aginas) : ilustraciones, diagramas
3Preface
41 Differentiable manifolds .
5Integration of forms .
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64 Connections, parallel transport and geodesics . .
74.5 Geodesics .
85 Curvature
96 Electricity and Magnetism
107 Special Relativity
119 The Energy-Momentum tensor
1210 The Field equation
1311 The Schwarzschild solution
14A Linear algebra and tensors
15B Topology and analysis
16Introduction
17x − vt
18Time travel and causality
19Figure 11: Positive, negative and zero curvature.
20General Relativity
21Rg = 8πGN c4
22Chapter 1
231.1 Manifolds
24Chapter 1. Differentiable manifolds
25Figure 1.1: A smooth function from the plane to the plane.
26= S n \ {N} and UN
271.2 The tangent space and the derivative
28Figure 1.8: A vector tangent to the Torus.
29Fφ ◦ F−1
30mersions:
311.3. Vector bundles
321.3 Vector bundles
331.4 The tangent bundle and vector fields
34p∈M
351.4. The tangent bundle and vector fields
36Proposition 1.31. Der(A) ⊆ End(A) is a Lie subalgebra.
37˜g|W
38= 0 then δ(h)|W
39with Df(p) : TpM −→ T f(p) compute
40On the other hand
41= LXα
42Yi ∂ ∂xi.
431.4. The tangent bundle and vector fields
44Yi(p)
451.5 Vector fields and flows
461.5. Vector fields and flows
47H : Ω → M (t, p)
48= X(γa). Define H as follows: Put Ω := (cid:83)
49= r
50(X
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