A Relativist's Toolkit: The Mathematics of Black-Hole MechanicsCambridge University Press, 6.5.2004 This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field. |
Sisältö
1 Fundamentals | 1 |
2 Geodesic congruences | 28 |
3 Hypersurfaces | 59 |
4 Lagrangian and Hamiltonian formulations of general relativity | 118 |
5 Black holes | 163 |
| 224 | |
| 229 | |
Muita painoksia - Näytä kaikki
A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics Eric Poisson Rajoitettu esikatselu - 2004 |
A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics Eric Poisson Esikatselu ei käytettävissä - 2007 |
A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics Eric Poisson Esikatselu ei käytettävissä - 2004 |
Yleiset termit ja lausekkeet
ADM mass affine parameter angular momentum apparent horizon arbitrary Baß black hole black-hole mechanics congruence constant coordinate system curves d³y defined density derivative differentiation dr² ds² dt² dy² easy to check Einstein field equations energy condition event horizon expressed extrinsic curvature four-velocity gaß geodesic equation given Hamiltonian haß hypersurface orthogonal implies induced metric infinity ingoing inner horizon integral Kerr metric Kerr spacetime Killing vector mass and angular null geodesics null hypersurface parameterized quantities Raychaudhuri's equation region relations Riemann tensor rotation Saß scalar Section shell sin² singularity solution spacelike spacelike hypersurface spherical stationary stress-energy tensor surface gravity surface stress-energy tensor symmetric tangent vector Taß term theorem timelike geodesics tion transverse two-sphere two-surface vanishes vector field waß αβ βγ Στ дха