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A phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model is considered to study the interior of a Schwarzschild black hole. Due to the divergence of the probability of finding the black hole at the singularity…

High Energy Physics - Theory · Physics 2011-09-28 C. Bastos , O. Bertolami , N. C. Dias , J. N. Prata

We study numerically the evolution of spactime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of non-compact support. We use a very simplified toy model of a spherical charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

The uniqueness theorem for static charged higher dimensional black hole containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of event horizon is proposed. By…

High Energy Physics - Theory · Physics 2008-11-26 Marek Rogatko

In our previous work [Van de Moortel, The breakdown of weak null singularities, Duke Mathematical Journal 172 (15), 2957-3012, 2023], we showed that dynamical black holes formed in charged spherical collapse generically feature both a null…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Maxime Van de Moortel

Constraints on the geometry of a static spherically symmetric black hole are obtained by requiring the spacetime curvature to be analytic at the event horizon. For a zero temperature black hole further constraints are obtained by also…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Paul R. Anderson , Courtney D. Mull

We present a self-similar model of spherically symmetric collapse of a massless scalar field with a parameter $p$. The black hole formation is explicitly shown to occur only in the strong-field implosion of $p >1$. The field evolution in…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Y. Oshiro , K. Nakamura , A. Tomimatsu

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin,…

High Energy Physics - Theory · Physics 2009-11-10 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We consider 2+1 gravity minimally coupled to a self-interacting scalar field. The case in which the fall-off of the fields at infinity is slower than that of a localized distribution of matter is analyzed. It is found that the asymptotic…

High Energy Physics - Theory · Physics 2009-11-07 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We find that if general relativity is modified at the Planck scale by a Ricci-squared term, electrically charged black holes may be nonsingular. These objects concentrate their mass in a microscopic sphere of radius $r_{core}\approx…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gonzalo J. Olmo , D. Rubiera-Garcia

We study the Cauchy horizon (CH) singularity of a spherical charged black hole perturbed nonlinearly by a self-gravitating massless scalar field. We show numerically that the singularity is weak both at the early and at the late sections of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lior M. Burko

Bringing gravity into a quantum-mechanical framework is likely the most profound remaining problem in fundamental physics. The "unitarity crisis" for black hole evolution appears to be a key facet of this problem, whose resolution will…

General Relativity and Quantum Cosmology · Physics 2021-02-22 Steven B. Giddings

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

The conditions are clarified under which regular (i.e., singularity-free) black holes can exist. It is shown that in a large class of spacetimes that satisfy the weak energy condition the existence of a regular black hole requires topology…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arvind Borde

As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Gundlach

An exact solution representing black holes in an expanding universe is found. The black holes are maximally charged and the universe is expanding with arbitrary equation of state. It is an exact solution of the Einstein-scalar-Maxwell…

General Relativity and Quantum Cosmology · Physics 2010-06-14 Gary W. Gibbons , Kei-ichi Maeda

We consider stationary axially symmetric black holes with the background scalar field and test particles that can interact with this field directly. Then, particle collision near a black hole can lead to the unbounded energy $% E_{c.m.}$ in…

General Relativity and Quantum Cosmology · Physics 2017-09-22 O. B. Zaslavskii

Motivated by cosmic censorship in general relativity and string theory, we extend Christodoulou's celebrated examples of naked singularity formation in the Einstein-massless scalar field system to include a positive or negative scalar…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Xuefeng Zhang , Xinliang An

We prove the uniqueness theorem for static higher dimensional charged black holes spacetime containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of the event…

High Energy Physics - Theory · Physics 2009-11-10 Marek Rogatko

In this paper, we investigate the critical collapse leading to primordial black hole (PBH) formation in a universe dominated by a self-interacting scalar field with a quartic potential, comparing it to the well-known radiation-dominated…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 Luis E. Padilla , Ethan Milligan , David J. Mulryne , Juan Carlos Hidalgo

A series of tantalizing results led to the black hole uniqueness conjecture: isolated, realistic black holes should settle down to states characterized by their spin, mass and charge. I argue that generically real black holes will also…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Adam D. Helfer