Time‐asymmetric initial data for the N black hole problem in general relativity

1984 ◽  
Vol 25 (4) ◽  
pp. 1028-1034 ◽  
Author(s):  
Anil D. Kulkarni
2003 ◽  
Vol 67 (6) ◽  
Author(s):  
Wolfgang Tichy ◽  
Bernd Brügmann ◽  
Manuela Campanelli ◽  
Peter Diener

2020 ◽  
Author(s):  
Vitaly Kuyukov

In this paper, we analyze the singularity of a black hole based on a modification of general relativity. There is an equilibrium condition on the Planck scale. This makes it possible to study the thermodynamics of the singularity of a black hole.


Author(s):  
Lawrence H. Starkey

For two centuries Kant's first Critique has nourished various turns against transcendent metaphysics and realism. Kant was scandalized by reason's impotence in confronting infinity (or finitude) as seen in the divisibility of particles and in spatial extension and time. Therefore, he had to regard the latter as subjective and reality as imponderable. In what follows, I review various efforts to rationalize Kant's antinomies-efforts that could only flounder before the rise of Einstein's general relativity and Hawking's blackhole cosmology. Both have undercut the entire Kantian tradition by spawning highly probable theories for suppressing infinities and actually resolving these perplexities on a purely physical basis by positing curvatures of space and even of time that make them reëntrant to themselves. Heavily documented from primary sources in physics, this paper displays time’s curvature as its slowing down near very massive bodies and even freezing in a black hole from which it can reëmerge on the far side, where a new universe can open up. I argue that space curves into a double Möbius strip until it loses one dimension in exchange for another in the twin universe. It shows how 10-dimensional GUTs and the triple Universe, time/charge/parity conservation, and strange and bottom particle families and antiparticle universes, all fit together.


2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Tomas Andrade ◽  
Christiana Pantelidou ◽  
Julian Sonner ◽  
Benjamin Withers

Abstract General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady turbulent spacetime dynamics consistent with Kolmogorov’s theory of 1941. As a proof of principle we focus on black holes in asymptotically anti-de Sitter spacetimes in a large number of dimensions, where greater analytic control is gained. We focus on cases where the effective horizon dynamics is restricted to 2+1 dimensions. We also demonstrate that tidal deformations of the horizon induce turbulent dynamics. When set in motion relative to the horizon a deformation develops a turbulent spacetime wake, indicating that turbulent spacetime dynamics may play a role in binary mergers and other strong-field phenomena.


2014 ◽  
Vol 484 ◽  
pp. 012025
Author(s):  
M J Valtonen ◽  
A Gopakumar ◽  
S Mikkola ◽  
K Wiik ◽  
H J Lehto

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
Ian Ruchlin ◽  
James Healy ◽  
Carlos O. Lousto ◽  
Yosef Zlochower

2021 ◽  
Author(s):  
◽  
Del Rajan

<p>In this thesis, we explore the subject of complex spacetimes, in which the mathematical theory of complex manifolds gets modified for application to General Relativity. We will also explore the mysterious Newman-Janis trick, which is an elementary and quite short method to obtain the Kerr black hole from the Schwarzschild black hole through the use of complex variables. This exposition will cover variations of the Newman-Janis trick, partial explanations, as well as original contributions.</p>


2008 ◽  
Author(s):  
Masaru Shibata ◽  
Keisuke Taniguchi ◽  
Koji Uryū ◽  
Ye-Fei Yuan ◽  
Xiang-Dong Li ◽  
...  

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