General relativity, cosmology and astrophysics perspectives 100 years after Einstein's stay in Prague Jirí Bičák, Tomáš Ledvinka, editors

Format:

Book

Contributor:

Bičák, Jiří, editor.

Ledvinka, Tomáš, editor.

Series:

Fundamental theories of physics v. 177

Fundamental Theories of Physics volume 177

Language:

English

Subjects (All):

General relativity (Physics).

Cosmology.

Astrophysics.

Astronomy.

Physics.

Classical and Quantum Gravitation, Relativity Theory.

Astronomy, Astrophysics and Cosmology.

History and Philosophical Foundations of Physics.

Mathematical Physics.

cosmology.

astrophysics.

Medical Subjects:

Astronomy.

Local Subjects:

Physics.

Classical and Quantum Gravitation, Relativity Theory.

Astronomy, Astrophysics and Cosmology.

History and Philosophical Foundations of Physics.

Mathematical Physics.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2014

Language Note:

English

Summary:

The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications. As such, it may serve as a valuable source of knowledge and inspiration for experts in these fields, as well as an advanced source of information for young researchers. The occasion to gather together so many leading experts in the field was to celebrate the centenary of Einstein's stay in Prague in 1911-1912. It was in fact during his stay in Prague that Einstein started in earnest to develop his ideas about general relativity that fully developed in his paper in 1915. Approaching soon the centenary of his famous paper, this volume offers a precious overview of the path done by the scientific community in this intriguing and vibrant field in the last century, defining the challenges of the next 100 years. The content is divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics

Contents:

Part I Gravity and Prague

Kepler and Mach's Principle

Einstein in Prague: Relativity Then and Now

Part II Classical General Relativity

Observers, observables and measurements in general relativity

Some links between general relativity and other parts of physics

The General Relativistic Two Body Problem and the Effective One Body Formalism

Gravitational self-force: orbital mechanics beyond geodesic motion

Hamiltonian formalism for spinning black holes in general relativity

Stability of marginally outer trapped surfaces and geometric inequalities

Stationary black-hole binaries: A non-existence proof

Dynamic and Thermodynamic Stability of Black Holes and Black Branes

Instability of anti-de Sitter spacetime

Higher-dimensional black holes

Black holes, hidden symmetry and complete integrability: Brief Review

Part III Cosmology and Quantum Gravity

Cosmological models and stability

Inflation and Birth of Cosmological Perturbations

Loop Quantum Gravity and ThePlanck Regime of Cosmology

The inflationary origin of the seeds of cosmic structure: quantum theory and the need for novel physics

Quantum Gravity: The view from particle physics

Part IV Numerical Relativity and Relativistic Astrophysics

Three little pieces for computer and relativity

Instabilities of Relativistic Stars

Gravity talks: observing the universe with gravitational waves

LISA in 2012 and beyond

20 years after the first proposal

Einstein's gravity as seen by a cosmic lighthouse keeper

The astrophysical signatures of black holes: the horizon, the ISCO, the ergosphere and the light circle

Energy Extraction from Spinning Black Holes via Relativistic Jets

4 Complete Integrability

4.1 Liouville Theorem

4.2 Relativistic Particle as Dynamical System

4.3 Page's Proposal

5 PCKYT and Killing-Yano Tower

5.1 Killing-Yano Tensors

5.2 Killing-Yano Tower

6 Separation of Variables

6.1 General Remarks

6.2 Complete Separation of Variables in Kerr-NUT-ADS Spacetime

6.3 Complete Integrability and Separation of Variables in Weakly Charged Black Holes

References

Part IIICosmology and Quantum Gravity

14 Cosmological Models and Stability

1 Introduction

1.1 The Cosmological Principle

2 Cosmological Models

2.1 Cosmological Problems

3 Asymptotics of Cosmological Models

4 Results on Nonlinear Stability

4.1 Minkowski

4.2 de Sitter

4.3 Milne

5 Generalized Kasner Spacetimes

5.1 From α to ω

6 Concluding Remarks

15 Inflation and Birth of Cosmological Perturbations

1.1 Horizon Problem

1.2 Flatness Problem

1.3 Inflation as a Solution to Horizon and Flatness Problems

2 Slow-Roll Inflation and Vacuum Fluctuations

2.1 Curvature Perturbation

2.2 Tensor Perturbation

3 Origin of Non-Gaussianity

3.1 Non-Gaussianity From Self-Interaction/Non-Trivial Vacuum

3.2 Non-Gaussianity From Multi-Field Dynamics

4 δN Formalism

5 Summary

16 Loop Quantum Gravity and the Planck Regime of Cosmology

2 Setting the Stage

3 Why Pre-inflationary Dynamics Matters

4 The LQG Strategy

5 Analytical Aspects

6 Numerical Aspects, Observations and Self-Consistency

6.1 WMAP Phenomenology

6.2 Evolution of the Background

6.3 Evolution of Perturbations

6.4 Self Consistency

7 Summary and Discussion

17 The Inflationary Origin of the Seeds of Cosmic Structure: Quantum Theory and the Need for Novel Physics

2 The General Setting

Notes:

Online resource; title from PDF title page (SpringerLink, viewed June 23, 2014)

Includes bibliographical references at the end of each chapters

Other Format:

Printed edition:

ISBN:

9783319063492

3319063499

3319063480

9783319063485

OCLC:

881684647

Access Restriction:

Restricted for use by site license