Lectures on general relativity, cosmology and quantum black holes. ([2017])

• Record Type: Book
• Other Titles: General relativity, cosmology and quantum black holes
• Further Information: Note: Badis Ydri.
• Authors: Ydri, Badis
• Other Names: Institute of Physics (Great Britain), publisher.
• Contents: 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.
• Publisher Details: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
• Publication Date: 2017
• Extent: 1 online resource, illustrations (some color)
• Subjects: 523.1; SCIENCE / Physics / Relativity; General relativity (Physics); Cosmology; Relativity physics; SCIENCE / Physics / Relativity; Cosmology; General relativity (Physics); Relativity physics; Electronic books
• Languages: English
• ISBNs: 9780750314787; 0750314788; 9780750314770
• Related ISBNs: 075031477X; 9780750314763
• Notes: Note: Includes bibliographical references.; Note: Title from PDF title page (viewed on August 14, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.