Relativity and Gravitation: 100 Years after Einstein in Prague

Front Cover
Jiří Bičák, Tomáš Ledvinka
Springer, Jun 6, 2014 - Science - 590 pages

In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like.

At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues.

The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also

by Springer Verlag.

 

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Contents

1 Exact Hairy Black Holes
3
2 Black Hole Formation from a Complete Past for the EinsteinVlasov System
11
Recent Progress
19
4 Hidden Symmetries of the Dirac Equation in Curved SpaceTime
25
The Geometry of Static SpaceTimes
35
6 The Gravitational Equation in Higher Dimensions
43
7 Geometric Inequalities for Black Holes
50
8 Scalar Fields on Antide Sitter Background
53
44 Quasinormal Frequencies Horizon Area Spectra and Multihorizon Spacetimes
315
45 Asymptotically AdS Spacetimes and Isometric Embeddings
319
Part II Cosmology and Relativistic Astrophysics
323
46 A Cosmological Concordance Model with Particle Creation
324
47 From Nothing to Inflation and Back Again
331
48 Quasinormal Modes from a Naked Singularity
339
49 Tracing a Relativistic Milky Way Within the RAMOD Measurement Protocol
347
50 Is There a Flatness Problem in Classical Cosmology?
354

A Reappraisal
61
Another Perspective
69
11 Source Integrals of Asymptotic Multipole Moments
83
12 Geodesic Equations and AlgebroGeometric Methods
91
13 Illusory Horizons Thermodynamics and Holography Inside Black Holes
99
14 Shape Dynamics
111
15 Superradiance or Total Reflection?
119
16 NonLinear Effects in NonKerr Spacetimes
129
17 The Conformal Einstein Field Equations for Tracefree Perfect Fluids
137
18 Canonical Gravity NonInertial Frames Relativistic Metrology and Dark Matter
144
19 Gravomagnetic Solenoids
155
20 Exact Dynamical AdS Black Holes and Wormholes with a KleinGordon Field
161
Nonspinning Case
169
22 A Reference for the Covariant Hamiltonian Boundary Term
176
23 On a FiveDimensional Version of the GoldbergSachs Theorem
185
From Einsteins 1912 Paper to the Satellites LAGEOS and Gravity Probe B
191
25 Evolution of the Einstein Equations to Future Null Infinity
199
26 Increase of Black Hole Entropy in LanczosLovelock Gravity
207
27 On the Stability Operator for MOTS and the Core of Black Holes
214
28 The Twin Paradox in Static Spacetimes and Jacobi Fields
223
29 Geodesic Deviation in Kundt Spacetimes of any Dimension
229
30 A Class of Conformal Curves on Spherically Symmetric Spacetimes
238
31 Black Hole Collisions in Asymptotically de Sitter Spacetimes
247
32 On the Effects of Rotating Gravitational Waves
255
33 Variations on Spacetimes with BoostRotation Symmetry
261
34 On the Existence and Properties of Helically Symmetric Systems
266
35 Probing the Spacetime Structure Through Dynamics
275
36 Analytical Conformal Compactification of Schwarzschild Spacetime
279
37 Solutions in the 2+1 Null Surface Formulation
283
38 Electric and Magnetic Weyl Tensors in Higher Dimensions
287
39 Phase Structure of Five Dimensional Black Diring
291
40 The Null Geodesics in the Black Saturn Spacetime
295
41 Conformal Symmetries on the Horizon and Black Hole Entropy in Generic Dimensions
299
42 Finsler Spacetimes and Gravity
304
43 Lagrangian Analysis of Trivial Symmetries in Models of Gravity
309
51 Cosmology in fR Exponential Gravity
363
The Case of a Massive Magnetic Dipole
372
53 The Fitting Problem in a Lattice Universe
385
54 Hair of Astrophysical Black Holes
393
55 Backreaction Effects on the LuminosityRedshift Relation in Inhomogeneous Cosmology
399
56 Scalar Averaging in Szekeres Models
407
57 On the Interplay Between Radial and Angular Reflection Emissivity from the Black Hole Accretion Disc
415
58 CriticalCurve Topologies of Triple Gravitational Lenses
423
59 Modified Gravity Theories and Dark Matter Models Tested by Galactic Rotation Curves
427
60 Averaging Inside the LRS Family
431
61 Effect of Magnetic Fields on Equatorial Circular Orbits in Kerr Spacetimes
435
62 Exotic Dark Eigenspinors of the Charge Conjugation Operator and Cosmological Applications
439
63 On Motion of the Magellanic Clouds in the Milky Way Gravitational Field
443
64 Geodesic Chaos in Perturbed BlackHole Fields
448
65 Gravitational Waveforms for Black Hole Binaries with Unequal Masses
455
Part III Quantum Fields and Quantum Gravity
459
66 Phenomenology of Quantum Gravity and its Possible Role in Neutrino Anomalies
460
Anisotropy and Singularity Resolution
469
68 Tensor Operators in Loop Quantum Gravity
479
69 Probability Distributions for Quantum Stress Tensors in Two and Four Dimensions
489
70 Spontaneous Breaking of Lorentz Symmetry for Canonical Gravity
497
71 The Transfer Matrix in FourDimensional Causal Dynamical Triangulations
504
72 Plane Gravitational Waves and Flat Space in Loop Quantum Gravity
515
73 UnruhDeWitt Detector on the BTZ Black Hole
523
74 On the Observability of QuantumGravitational Effects in the Cosmic Microwave Background
531
75 Quantum Singularities in Conformally Static Spacetimes
539
Observability in Scattering Experiments
546
77 Signature Change in Loop Quantum Cosmology
555
78 Quantum Fields in Gravity
563
79 Classical and Quantum Scattering in Impulsive Backgrounds
567
80 Effective Vacuum Bianchi IX in Loop Quantum Cosmology
573
81 Coupling Dimers to CDT to Obtain Higher Order Multicritical Behavior
578
Quantum Field in a Discrete Curved Space
583
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