scholarly journals Global solvability of the vacuum Einstein equation and the strong cosmic censorship in four dimensions

2021 ◽  
Vol 164 ◽  
pp. 104164
Author(s):  
Gábor Etesi
Keyword(s):  
Einstein Equation ◽  
Global Solvability ◽  
Cosmic Censorship ◽  
Vacuum Einstein Equation ◽  
Four Dimensions ◽  
Strong Cosmic Censorship

scholarly journals Exotica or the failure of the strong cosmic censorship in four dimensions

2015 ◽  
Vol 12 (10) ◽  
pp. 1550121 ◽  
Author(s):  
Gábor Etesi
Keyword(s):  
Cosmological Constant ◽  
Cosmic Censorship ◽  
Twistor Theory ◽  
Wick Rotation ◽  
Four Dimensions ◽  
Precise Formulation ◽  
Ricci Flat ◽  
Lorentzian Metric ◽  
Strong Cosmic Censorship ◽  
Nonlinear Graviton

In this paper, a generic counterexample to the strong cosmic censor conjecture is exhibited. More precisely — taking into account that the conjecture lacks any precise formulation yet — first we make sense of what one would mean by a "generic counterexample" by introducing the mathematically unambigous and logically stronger concept of a "robust counterexample". Then making use of Penrose' nonlinear graviton construction (i.e. twistor theory) and a Wick rotation trick we construct a smooth Ricci-flat but not flat Lorentzian metric on the largest member of the Gompf — Taubes uncountable radial family of large exotic ℝ4's. We observe that this solution of the Lorentzian vacuum Einstein's equations with vanishing cosmological constant provides us with a sort of counterexample which is weaker than a "robust counterexample" but still reasonable to consider as a "generic counterexample". It is interesting that this kind of counterexample exists only in four dimensions.

scholarly journals Addendum to “Strong cosmic censorship: The nonlinear story”

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Raimon Luna ◽  
Miguel Zilhão ◽  
Vitor Cardoso ◽  
João L. Costa ◽  
José Natário
Keyword(s):  
Cosmic Censorship ◽  
Strong Cosmic Censorship

scholarly journals Strong cosmic censorship: taking the rough with the smooth

2018 ◽  
Vol 2018 (10) ◽  
Author(s):  
Oscar J. C. Dias ◽  
Harvey S. Reall ◽  
Jorge E. Santos
Keyword(s):  
Cosmic Censorship ◽  
Strong Cosmic Censorship

scholarly journals A proof of the strong cosmic censorship conjecture

2020 ◽  
Vol 29 (14) ◽  
pp. 2042003
Author(s):  
Shahar Hod
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Second Law Of Thermodynamics ◽  
Cosmic Censorship ◽  
Necessary Condition ◽  
Deterministic Theory ◽  
Black Hole Spacetimes ◽  
Generalized Second Law ◽  
Strong Cosmic Censorship ◽  
Cosmic Censorship Conjecture

The Penrose strong cosmic censorship conjecture asserts that Cauchy horizons inside dynamically formed black holes are unstable to remnant matter fields that fall into the black holes. The physical importance of this conjecture stems from the fact that it provides a necessary condition for general relativity to be a truly deterministic theory of gravity. Determining the fate of the Penrose conjecture in nonasymptotically flat black hole spacetimes has been the focus of intense research efforts in recent years. In this paper, we provide a remarkably compact proof, which is based on Bekenstein’s generalized second law of thermodynamics, for the validity of the intriguing Penrose conjecture in physically realistic (dynamically formed) curved black hole spacetimes.

scholarly journals Strong cosmic censorship under quasinormal modes of non-minimally coupled massive scalar field

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Bogeun Gwak
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Decay Rate ◽  
Small Mass ◽  
Cosmic Censorship ◽  
Massive Scalar ◽  
De Sitter ◽  
Massive Scalar Field ◽  
Strong Cosmic Censorship ◽  
Cosmic Censorship Conjecture

Abstract We investigate the strong cosmic censorship conjecture in lukewarm Reissner–Nordström–de Sitter black holes (and Martínez–Troncoso–Zanelli black holes) using the quasinormal resonance of non-minimally coupled massive scalar field. The strong cosmic censorship conjecture is closely related to the stability of the Cauchy horizon governed by the decay rate of the dominant quasinormal mode. Here, dominant modes are obtained in the limits of small and large mass black holes. Then, we connect the modes by using the WKB approximation. In our analysis, the strong cosmic censorship conjecture is valid except in the range of the small-mass limit, in which the dominant mode can be assumed to be that of the de Sitter spacetime. Particularly, the coupling constant and mass of the scalar field determine the decay rate in the small mass range. Therefore, the validity of the strong cosmic censorship conjecture depends on the characteristics of the scalar field.

scholarly journals Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Hang Liu ◽  
Ziyu Tang ◽  
Kyriakos Destounis ◽  
Bin Wang ◽  
Eleftherios Papantonopoulos ◽  
...  
Keyword(s):  
Cosmic Censorship ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Strong Cosmic Censorship ◽  
Higher Dimensional
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