Lectures on general relativity, cosmology and quantum black holes /

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"Version: 20170701"--Title page verso.Includes bibliographical references.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. Exercises2. 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-Nordstr?om (charged) black hole -- 2.6. Kerr spacetime -- 2.7. Black hole thermodynamics -- 2.8. Exercises3. 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-Lema?itre-Robertson-Walker (FLRW) metric -- 3.9. Friedmann equations -- 3.10. Examples of scale factors -- 3.11. Redshift, distances, and age -- 3.12. Exercises4. 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. Exercises5. 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 Ho?rava-Lifshitz quantum gravity -- 5.8. Exercises6. 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.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 projects as part of an MSc or PhD programme. This ebook contains interactive Q&A technology, allowing the reader to interact with the text and reveal answers to selected exercises posed by the author within the book. This feature may not function in all formats and on reading devices.Graduate students in physics and mathematics.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Badis Ydri is currently a professor of theoretical particle physics, at the Institute of Physics, Annaba University, Algeria. He is also a research associate at the Dublin Institute for Advanced Studies, Dublin, Ireland, and a regular ICTP Associate at the Abdus Salam Center for Theoretical Physics, Trieste, Italy.Title from PDF title page (viewed on August 14, 2017).

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: .,

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1 online resource (various pagings) :illustrations (some color).

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English

ISBN/ISSN

9780750314787

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523.1

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Subject(s)

Cosmology.
General relativity (Physics)
Relativity physics.
SCIENCE / Physics / Relativity.

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Badis Ydri.

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