Lectures on general relativity, cosmology and quantum black holes /

This book is a rigorous text for students in physics and mathematics requiring an introduction to the implications and interpretation of general relativity in areas of cosmology. Readers of this text will be well prepared to follow the theoretical developments in the field and undertake research pro...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ydri, Badis (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2017]
Colección:IOP (Series). Release 3.
IOP expanding physics.
Temas:
General relativity (Physics)
Cosmology.
Relativity physics.
SCIENCE / Physics / Relativity.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • 1. General relativity essentials
  • 1.1. The equivalence principle
  • 1.2. Relativistic mechanics
  • 1.3. Differential geometry primer
  • 1.4. Curvature tensor
  • 1.5. The stress-energy-momentum tensor
  • 1.6. Einstein's equation
  • 1.7. Killing vectors and maximally symmetric spaces
  • 1.8. The Hilbert-Einstein action
  • 1.9. Exercises
  • 2. Black holes
  • 2.1. Spherical star
  • 2.2. Schwarzschild black hole
  • 2.3. The Kruskal-Szekres diagram : maximally extended Schwarzschild solution
  • 2.4. Various theorems and results
  • 2.5. Reissner-Nordström (charged) black hole
  • 2.6. Kerr spacetime
  • 2.7. Black hole thermodynamics
  • 2.8. Exercises
  • 3. Cosmology I : the expanding universe
  • 3.1. Homogeneity and isotropy
  • 3.2. Expansion and distances
  • 3.3. Matter, radiation, and vacuum
  • 3.4. Flat Universe
  • 3.5. Closed and open Universes
  • 3.6. Aspects of the early Universe
  • 3.7. The concordance model
  • 3.8. The Friedmann-Lemaître-Robertson-Walker (FLRW) metric
  • 3.9. Friedmann equations
  • 3.10. Examples of scale factors
  • 3.11. Redshift, distances, and age
  • 3.12. Exercises
  • 4. Cosmology II : the inflationary Universe
  • 4.1. Cosmological puzzles
  • 4.2. Elements of inflation
  • 4.3. Perfect fluid revisited
  • 4.4. Cosmological perturbations
  • 4.5. Matter-radiation equality
  • 4.6. Hydrodynamical adiabatic scalar perturbations
  • 4.7. Quantum cosmological scalar perturbations
  • 4.8. Rederivation of the Mukhanov action
  • 4.9. Exercises
  • 5. Quantum field theory on curved backgrounds, vacuum energy, and quantum gravity
  • 5.1. Dark energy
  • 5.2. The cosmological constant
  • 5.3. Elements of quantum field theory in curved spacetime
  • 5.4. Calculation of vacuum energy in curved backgrounds
  • 5.5. Is vacuum energy real?
  • 5.6. The ADM formulation
  • 5.7. A brief introduction of Hor̂ava-Lifshitz quantum gravity
  • 5.8. Exercises
  • 6. Hawking radiation, the information paradox, and black hole thermodynamics
  • 6.1. Introduction and summary
  • 6.2. Rindler spacetime and general relativity
  • 6.3. Schwarzschild black holes
  • 6.4. Kruskal-Szekres diagram
  • 6.5. Density matrix and entanglement
  • 6.6. Rindler decomposition and Unruh effect
  • 6.7. Quantum field theory in curved spacetime
  • 6.8. Hawking radiation
  • 6.9. Hawking radiation from quantum field theory in a Schwarzschild background
  • 6.10. The Unruh versus Boulware vacua : pure to mixed
  • 6.11. The information problem in black hole Hawking radiation
  • 6.12. Black hole thermodynamics
  • 6.13. Exercises
  • Appendix. Differential geometry primer.

Ejemplares similares