Advanced general relativity : gravity waves, spinning particles, and black holes
General relativity (Physics) e-böcker
Oxford University Press
2013
EISBN 9780191501883
Machine generated contents note: 1.Minkowskian space-time.
1.1.Lorentz tansformations.
1.2.Non-singular and singular Lorentz transformations.
1.3.Infinitesimal Lorentz transformations.
1.4.Geometrical construction of a gravitational wave.
2.Plane gravitational waves.
2.1.From linear approximation to colliding waves.
2.2.Electromagnetic shock waves.
2.3.Gravitational shock waves.
2.4.High-frequency gravity waves.
3.Equations of motion.
3.1.Motivation.
3.2.Example of a background space-time.
3.3.Equations of motion of a Reissner-Nordstrom particle in first approximation.
3.4.Background space-time for a Kerr particle.
3.5.Equations of motion of a Kerr particle in first approximation.
3.6.Spinning test particles.
4.Inhomogeneous aspects of cosmology.
4.1.Plane-fronted gravitational waves with a cosmological constant.
4.2.Perturbations of isotropic cosmologies.
4.3.Gravitational waves.
4.4.Cosmic background radiation.
5.Black holes.
5.1.Introduction: Basic properties of black holes.
5.2.Collapsing null shells and trapped surface formation.
5.3.Scattering properties of high-speed Kerr black holes.
5.4.Inside the black hole.
5.5.Metric fluctuations and Hawking radiation.
6.Higher dimensional black holes.
6.1.Brief outline of D-dimensional black holes.
6.2.Gibbons-Penrose isoperimetric inequality and the hoop conjecture in D dimensions.
6.3.Light-like boost of higher dimensional black holes.
This volume covers mainstream topics at research level involving gravitational waves, spinning particles, and black holes suitable for graduates and early postgraduates exploring avenues into research in general relativity.
1.1.Lorentz tansformations.
1.2.Non-singular and singular Lorentz transformations.
1.3.Infinitesimal Lorentz transformations.
1.4.Geometrical construction of a gravitational wave.
2.Plane gravitational waves.
2.1.From linear approximation to colliding waves.
2.2.Electromagnetic shock waves.
2.3.Gravitational shock waves.
2.4.High-frequency gravity waves.
3.Equations of motion.
3.1.Motivation.
3.2.Example of a background space-time.
3.3.Equations of motion of a Reissner-Nordstrom particle in first approximation.
3.4.Background space-time for a Kerr particle.
3.5.Equations of motion of a Kerr particle in first approximation.
3.6.Spinning test particles.
4.Inhomogeneous aspects of cosmology.
4.1.Plane-fronted gravitational waves with a cosmological constant.
4.2.Perturbations of isotropic cosmologies.
4.3.Gravitational waves.
4.4.Cosmic background radiation.
5.Black holes.
5.1.Introduction: Basic properties of black holes.
5.2.Collapsing null shells and trapped surface formation.
5.3.Scattering properties of high-speed Kerr black holes.
5.4.Inside the black hole.
5.5.Metric fluctuations and Hawking radiation.
6.Higher dimensional black holes.
6.1.Brief outline of D-dimensional black holes.
6.2.Gibbons-Penrose isoperimetric inequality and the hoop conjecture in D dimensions.
6.3.Light-like boost of higher dimensional black holes.
This volume covers mainstream topics at research level involving gravitational waves, spinning particles, and black holes suitable for graduates and early postgraduates exploring avenues into research in general relativity.
