Black hole physics : from collapse to evaporation / Daniel Grumiller, Mohammad Mehdi Sheikh-Jabbari.

Format:

Book

Author/Creator:

Grumiller, Daniel, author.

Sheikh-Jabbari, Mohammad Mehdi, author.

Series:

Graduate texts in physics

Language:

English

Subjects (All):

Black holes (Astronomy).

Genre:

Electronic books.

Physical Description:

1 online resource (xxviii, 416 pages) : illustrations (some color).

Place of Publication:

Cham : Springer, [2022]

Summary:

This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning. The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.

Contents:

Intro

Foreword

Preface

How to Read and Use This Book

Acknowledgements

Contents

Acronyms

Notations and Conventions

List of Figures

1 Introduction

1.1 Essentials of General Relativity

1.1.1 Equivalence Principle and Geodesics

1.1.2 Einstein Gravity

1.2 Brief Review of Black Hole History

1.2.1 First Five Decades: Finding Solutions and Classic Analyses

1.2.2 Black Holes Through Observations

1.2.3 Black Holes as Thermodynamical Systems

1.3 Gravitational Collapse in Stars

1.3.1 Core Collapse Supernova and Black Hole Formation

1.3.2 Estimating the Chandrasekhar Mass

1.4 Different Schools of Thought on Black Holes

1.4.1 GR School

1.4.2 HEP School

1.4.3 Quantum Information School

2 Black Hole Solutions and Basic Properties

2.1 Schwarzschild Metric, Basic Facts, and Analyses

2.1.1 Symmetries and Killing Vectors

2.1.2 Flamm Diagram

2.1.3 Singularities, Asymptotic, and Near Horizon Behavior

2.1.4 ADM Mass and Angular Momentum

2.1.5 Infinite Redshift Surface

2.2 Particle Probes and Geodesics

2.2.1 Null Geodesics

2.2.2 Timelike Geodesics and Particle Orbits

2.2.3 Eddington-Finkelstein Coordinates

2.3 Maximal Extensions and Causal Diagrams

2.3.1 Geodesic Completeness and Maximal Analytic Extension

2.3.2 Kruskal Coordinates for Schwarzschild Geometry

2.3.3 Structure of Lightcones and Preliminary Notion of Horizon

2.3.4 Carter-Penrose Causal Diagrams

2.3.5 Realistic Black Holes and Wormholes

2.4 Einstein-Maxwell Theory and Reissner-Nordström Black Holes

2.5 Kerr Solution and Its Basic Analysis

2.5.1 Basic Properties of Kerr Black Hole

2.5.2 Geodesics of Kerr Geometry

2.6 Black Holes in (A)dS Backgrounds

2.6.1 Schwarzschild-dS Black Holes

2.6.2 Schwarzschild-AdS and Topological Black Holes

2.7 Plebanski-Demianski Black Holes

2.8 Vaidya Metric as Example for Non-stationary Black Holes

3 Formal Definitions and Classic Theorems

3.1 Mathematical Definitions of Black Holes and Horizons

3.1.1 Killing Horizon and Surface Gravity

3.1.2 Event Horizon and Mathematical Black Hole Definition

3.1.3 Apparent Horizons and Trapped Surfaces

3.1.4 Cauchy Horizons and Predictability

3.1.5 Other Horizon Definitions

3.2 Classic Conjectures and Theorems

3.2.1 Raychaudhuri Equation

3.2.2 Classical Energy Conditions

3.2.3 Singularity Theorems

3.2.4 Asymptotic Flatness

3.2.5 Horizon Theorems

3.2.6 Uniqueness Theorems

3.2.7 Cosmic Censorship Conjecture

3.3 Optical Focusing Equation and Area Theorem (2nd Law)

4 Probing Black Holes, Their Formation and Stability

4.1 General Remarks on Black Hole Observations

4.2 Black Hole Photon-Sphere, Shadows, and Images

4.3 Penrose Process, Super-Radiance, and Black Hole Mining

4.4 Gravitational Waves and Black Hole Mergers

4.5 Accretion Disk Physics

4.6 Black Hole Formation in Shock-Wave Collisions

Notes:

Includes bibliographical references.

Online resource; title from PDF title page (SpringerLink, viewed November 17, 2022).

ISBN:

9783031103438

3031103432

OCLC:

1350554629

Access Restriction:

Restricted for use by site license.