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It is widely expected that generic black holes have a non-empty but weakly singular Cauchy horizon, due to mass inflation. Indeed this has been proven by the author in the spherical collapse of a charged scalar field, under decay…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Maxime Van de Moortel

The last seven years has produced a growing body of evidence which concludes that the Cauchy horizon in black hole-de Sitter spacetimes is classically stable when the surface gravity at the cosmological event horizon is greater than that at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General Relativity. Strong Cosmic Censorship serves as a firewall…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

We prove that if in a spacetime endowed with a merely continuous metric, a complete partial Cauchy hypersurface has nonempty Cauchy horizon, then the horizon is caused by the presence of almost closed causal curves behind it or by the…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Martin Lesourd , Ettore Minguzzi

The cosmic censorship conjecture posits that singularities forming to the future of a regular Cauchy surface are hidden by an event horizon. Consequently any topological structures will ultimately collapse within the horizon of a set of…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Alexander R. H. Smith , Robert B. Mann

We study the causal structure of dynamical charged black holes, with a sufficient number of massless fields, using numerical simulations. Neglecting Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature singularity…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Sungwook E. Hong , Dong-il Hwang , Ewan D. Stewart , Dong-han Yeom

In this paper it is argued that even invoking the dominant energy condition, the Einstein's field equations admit nonglobally hyperbolic, asymptotically de Sitter spacetimes with locally naked singularities and with Cauchy horizons failing…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Wenceslao Santiago-Germán

We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Rong-Gen Cai , Li Li , Run-Qiu Yang

We prove a no Cauchy horizon theorem for general nonlinear electrodynamics black holes with charged scalar hairs. By constructing a radially conserved charged, we show that there is no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Yu-Sen An , Li Li , Fu-Guo Yang

Regular and spherically symmetric black holes that solve the singularity problems of the Schwarzschild solution are phenomenologically viable at large distance but usually suffer from the Cauchy horizon instability. To overcome this…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Marco Calzá , Massimiliano Rinaldi , Sergio Zerbini

We initiate a series of works where we study the interior of dynamical rotating vacuum black holes without symmetry. In the present paper, we take up the problem starting from appropriate Cauchy data for the Einstein vacuum equations…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Mihalis Dafermos , Jonathan Luk

We study the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent horizon, a Cauchy horizon and a final central singularity. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shahar Hod , Tsvi Piran

Using the general solution to the Einstein equations on intersecting null surfaces developed by Hayward, we investigate the non-linear instability of the Cauchy horizon inside a realistic black hole. Making a minimal assumption about the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R Brady , Chris M Chambers

We consider smooth electrovac spacetimes which represent either (A) an asymptotically flat, stationary black hole or (B) a cosmological spacetime with a compact Cauchy horizon ruled by closed null geodesics. The black hole event horizon or,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Helmut Friedrich , Istvan Racz , Robert M. Wald

A simple argument is given that a traversable Cauchy horizon inside a black hole is incompatible with unitary black hole evolution. The argument assumes the validity of black hole complementarity and applies to a generic black hole carrying…

High Energy Physics - Theory · Physics 2015-06-26 Larus Thorlacius

The theory of General Relativity predicts that black holes are a natural constituent of our Universe. Before a black hole binary relaxes to a final state, it undergoes damped oscillations which completely characterize the final object.…

General Relativity and Quantum Cosmology · Physics 2019-10-18 Kyriakos Destounis

We consider the fundamental issues which dominate the question about the existence or non-existence of black hole horizons and singularities from both of the theoretical and observational points of view, and discuss some of the ways that…

General Relativity and Quantum Cosmology · Physics 2011-12-01 C. Corda , D. Leiter , H. J. Mosquera Cuesta , S. Robertson , R. E. Schild

We study analytically the Cauchy horizon singularity inside spherically-symmetric charged black holes, coupled to a spherical self-gravitating, minimally-coupled, massless scalar field. We show that all causal geodesics terminate at the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lior M. Burko

We prove that a large class of smooth solutions $\psi$ to the linear wave equation $\Box_g\psi=0$ on subextremal rotating Kerr spacetimes which are regular and decaying along the event horizon become singular at the Cauchy horizon. More…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Jonathan Luk , Jan Sbierski

If entanglement builds spacetime, then conversely, disentanglement ought to destroy spacetime. From the quantum null energy condition and quantum focusing conjecture, we obtain disentanglement criteria which necessitate infinite energies…

High Energy Physics - Theory · Physics 2025-01-29 Hong Zhe Chen
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