General Relativity: An Introduction for Physicists
After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle.
Mnenja - Napišite recenzijo
Na običajnih mestih nismo našli nobenih recenzij.
Manifolds and coordinates
Vector calculus on manifolds
Tensor calculus on manifolds
The gravitational field equations
The Schwarzschild geometry
The Kerr geometry
The FriedmannRobertsonWalker geometry
Linearised general relativity
A variational approach to general relativity
Druge izdaje - Prikaži vse
4-velocity angular momentum basis vectors black hole Cartesian coordinates Cartesian inertial Chapter circular orbit comoving connection coefficients consider constant contravariant components coordinate radius coordinate transformation corresponding cosmic covariant components covariant derivative curvature tensor curve defined denote density differential discussion distance Eddington-Finkelstein coordinates Einstein electromagnetic field emitted energy energy-momentum tensor equation of motion equatorial plane ergoregion Euclidean space event horizon example expression field equations Figure function galaxy geodesic equations given gravitational field gravitational wave Hence show Hubble inertial frame inflation integral Kerr Kerr metric Lagrangian line element linearised manifold mass massive particle metric tensor Minkowski spacetime Newtonian non-zero null observer obtain perturbation photon physical radial redshift region relativistic respect result Ricci tensor rotating satisfy scalar field scale factor Schwarzschild geometry Schwarzschild metric Section sin2 singularity solution spacelike spherical stationary surface symmetric theory timelike trajectory universe variation velocity worldline zero