Spacetime and Geometry: An Introduction to General RelativityCambridge University Press, 8 ago 2019 Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics. |
Índice
| 1 | |
Manifolds | 48 |
Curvature | 93 |
Gravitation | 151 |
The Schwarzschild Solution | 193 |
More General Black Holes | 238 |
Perturbation Theory and Gravitational Radiation | 274 |
Cosmology | 323 |
Quantum Field Theory in Curved Spacetime | 376 |
| 495 | |
| 501 | |
Otras ediciones - Ver todo
Spacetime and Geometry: An Introduction to General Relativity Sean M. Carroll Vista previa restringida - 2019 |
Spacetime and Geometry: The Alfred Schild Lectures Lawrence C. Shepley,Richard Alfred Matzner Vista de fragmentos - 1982 |
Spacetime And Geometry: The Alfred Schild Lectures Richard A. Matzner,L. C. Shepley No hay ninguna vista previa disponible - 2012 |
Términos y frases comunes
acceleration basis vectors black hole Chapter Christoffel coefficients components conformal diagram connection conserved consider constant coordinate system cosmological covariant derivative curvature curved spacetime defined diffeomorphism discussion dual vectors Einstein's equation electromagnetism energy density energy-momentum tensor Euclidean event horizon example expression field theory Figure flat space flat spacetime four-velocity function gauge geodesic equation geometry gravitational field hypersurface inertial coordinates infinity integral invariant Killing horizon Killing vector light cones Lorentz transformations manifold mass matter maximally symmetric metric Minkowski space modes momentum Newtonian notion null observer one-forms orbits parallel transport parameter partial derivative path perturbation photon physical potential quantum field radiation redshift region relativity Ricci tensor Riemann tensor rotation scalar field Schwarzschild simply singularity solution spacelike spatial spherical static submanifold surface tangent space tangent vector theorem timelike universe vacuum energy vanish vector field zero