scholarly journals First law of binary black hole mechanics in general relativity and post-Newtonian theory

2012 ◽  
Vol 85 (6) ◽  
Author(s):  
Alexandre Le Tiec ◽  
Luc Blanchet ◽  
Bernard F. Whiting
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Newtonian Theory ◽  
Binary Black Hole

scholarly journals A massive binary black-hole system in OJ 287 and a test of general relativity

Nature ◽  
2008 ◽  
Vol 452 (7189) ◽  
pp. 851-853 ◽  
Author(s):  
M. J. Valtonen ◽  
H. J. Lehto ◽  
K. Nilsson ◽  
J. Heidt ◽  
L. O. Takalo ◽  
...  
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Binary Black Hole

scholarly journals Tests of general relativity with the binary black hole signals from the LIGO-Virgo catalog GWTC-1

2019 ◽  
Vol 100 (10) ◽  
Author(s):  
B. P. Abbott ◽  
R. Abbott ◽  
T. D. Abbott ◽  
S. Abraham ◽  
F. Acernese ◽  
...  
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Tests Of General Relativity ◽  
Binary Black Hole

scholarly journals Quasi-normal modes of static spherically symmetric black holes in f(R) theory

2020 ◽  
Vol 80 (1) ◽  
Author(s):  
Sayak Datta ◽  
Sukanta Bose
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Gravitational Wave ◽  
Normal Modes ◽  
Einstein Frame ◽  
Spherically Symmetric ◽  
Inhomogeneous Term ◽  
Binary Black Hole ◽  
Special Case

AbstractWe study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in f(R) theories. We show how these modes in theories with non-trivial f(R) are fundamentally different from those in general relativity. In the special case of $$f(R) = \alpha R^2$$f(R)=αR2 theories, it has been recently argued that iso-spectrality between scalar and vector modes breaks down. Here, we show that such a break down is quite general across all f(R) theories, as long as they satisfy $$f''(0)/(1+f''(0)) \ne 0$$f′′(0)/(1+f′′(0))≠0, where a prime denotes derivative of the function with respect to its argument. We specifically discuss the origin of the breaking of isospectrality. We also show that along with this breaking the QNMs receive a correction that arises when $$f''(0)/(1+f'(0)) \ne 0$$f′′(0)/(1+f′(0))≠0 owing to the inhomogeneous term that it introduces in the mode equation. We discuss how these differences affect the “ringdown” phase of binary black hole mergers and the possibility of constraining f(R) models with gravitational-wave observations. We also find that even though the iso-spectrality is broken in f(R) theories, in general, nevertheless in the corresponding scalar-tensor theories in the Einstein frame it is unbroken.

scholarly journals Binary black hole mergers in gaseous disks: Simulations in general relativity

2011 ◽  
Vol 84 (2) ◽  
Author(s):  
Brian D. Farris ◽  
Yuk Tung Liu ◽  
Stuart L. Shapiro
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Binary Black Hole

scholarly journals Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
Ulrich Sperhake ◽  
Emanuele Berti ◽  
Vitor Cardoso ◽  
José A. González ◽  
Bernd Brügmann ◽  
...  
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Binary Black Hole

scholarly journals Binary black hole initial data for numerical general relativity based on post-Newtonian data

2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Wolfgang Tichy ◽  
Bernd Brügmann ◽  
Manuela Campanelli ◽  
Peter Diener
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Initial Data ◽  
Binary Black Hole

scholarly journals Tests of general relativity using multiband observations of intermediate mass binary black hole mergers

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Sayantani Datta ◽  
Anuradha Gupta ◽  
Shilpa Kastha ◽  
K. G. Arun ◽  
B. S. Sathyaprakash
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Intermediate Mass ◽  
Tests Of General Relativity ◽  
Binary Black Hole

Properties of dynamical space-times

2018 ◽  
Author(s):  
Michele Maggiore
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Angular Momentum ◽  
Gravitational Radiation ◽  
Hamiltonian Formulation ◽  
Black Hole Mass ◽  
Adm Mass ◽  
Binary Black Hole

An introduction to advanced tools of General Relativity, later used in the study of binary black-hole coalescences. Hamiltonian formulation of General Relativity, ADM mass and angular momentum, irreducible black-hole mass, Newman-Penrose scalars and gravitational radiation.

scholarly journals A near horizon extreme binary black hole geometry

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Jacob Ciafre ◽  
Maria J. Rodriguez
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Relative Distance ◽  
Binary Black Hole ◽  
Hole Geometry ◽  
Kerr Black Holes

Abstract A new solution of four-dimensional vacuum General Relativity is presented. It describes the near horizon region of the extreme (maximally spinning) binary black hole system with two identical extreme Kerr black holes held in equilibrium by a massless strut. This is the first example of a non-supersymmetric, near horizon extreme binary black hole geometry of two uncharged black holes. The black holes are co-rotating, their relative distance is fixed, and the solution is uniquely specified by the mass. Asymptotically, the geometry corresponds to the near horizon extreme Kerr (NHEK) black hole. The binary extreme system has finite entropy.

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