General Relativity for the Gifted Amateur

General Relativity for the Gifted Amateur

Blundell, Stephen; Lancaster, Tom

Oxford University Press

01/2025

640

Dura

9780192867407

Pré-lançamento - envio 15 a 20 dias após a sua edição

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0: Overture
I Geometry and mechanics in at spacetime
1: Special relativity
2: Vectors in at spacetime
3: Coordinates
4: Linear slot machines
5: The metric
II Curvature and general relativity
6: Finding a theory of gravitation
7: Parallel lines and the covariant derivative
8: Free fall and geodesics
9: Geodesic equations and connection coecients
10: Making measurements in relativity
11: Riemann curvature and the Ricci tensor
12: The energy-momentum tensor
13: The gravitational field equations
14: The triumphs of general relativity
III Cosmology
15: An introduction to cosmology
16: Robertson-Walker spaces
17: The Friedmann equations
18: Universes of the past and future
19: Causality, infinity and horizons
IV Orbits, stars and black holes
20: Newtonian orbits
21: The Schwarzschild geometry
22: Motion in the Schwarzschild geometry
23: Orbits in the Schwarzschild geometry
24: Photons in the Schwarzschild geometry
25: Black holes
26: Black-hole singularities
27: Kruskal-Szekeres coordinates
28: Hawking radiation
29: Charged and rotating black holes
V Geometry
30: Classical curvature
31: A reintroduction to geometry
32: Differential forms
33: Exterior and Lie derivatives
34: Geometry of the connection
35: Riemann curvature revisited
36: Cartan's method
37: Duality and the volume form
38: Forms, chains and Stokes' theorem
VI Classical and quantum fields
39: Fluids as dry water
40: Lagrangian field theory
41: Inflation
42: The electromagnetic field
43: Charge conservation and the Bianchi identity
44: Gauge fields
45: Weak gravitational fields
46: Gravitational waves
47: The properties of gravitons
48: Higher-dimensional spacetime
49: From classical to quantum gravity
50: The Big-Bang singularity
A: Further reading
B: Conventions and notation
C: Manifolds and bundles
D: Embedding
E: Answers to selected problems
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