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We present the most general and exact solution of Einstein's gravity sourced by an anisotropic fluid describing the cosmological embedding (CE) of a static and spherically-symmetric object, including black holes (BHs) or exotic compact…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mariano Cadoni , Leonardo de Lima , Mirko Pitzalis , Davi C. Rodrigues , Andrea P. Sanna

A new approach is proposed for the quantum mechanical problem of the falling of a particle to a singularly attracting center, basing on a black-hole concept of the latter. The singularity r^{-2} in the potential of the radial Schroedinger…

High Energy Physics - Theory · Physics 2007-05-23 A. E. Shabad

In this paper, we derive a novel Schwarzschild-like black hole (BH) solution describing a static and asymptotically flat BH surrounded by a dark matter (DM) halo with a Dehnen-type density distribution in the surrounding environment. We…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Ahmad Al-Badawi , Sanjar Shaymatov , Yassine Sekhmani

We study the behaviour of smooth solutions to the wave equation, $\square_g\psi=0$, in the interior of a fixed Schwarzschild black hole. In particular, we obtain a full asymptotic expansion for all solutions towards $r=0$ and show that it…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Grigorios Fournodavlos , Jan Sbierski

We present the detailed analyses of a model of loop quantum Schwarzschild interior coupled to a massless scalar field and extend the results in our previous rapid communication arXiv:2006.08313 to more general schemes. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2022-02-09 Cong Zhang , Yongge Ma , Shupeng Song , Xiangdong Zhang

The Schwarzschild metric has an apparent singularity at the horizon r=2M. What really happens there? If physics at the horizon is 'normal' laboratory physics, then we run into Hawking's information paradox. If we want nontrivial structure…

High Energy Physics - Theory · Physics 2015-06-16 Samir D. Mathur

We study the radiative properties of a spherical and singularity-free black-hole geometry recently proposed in the literature. Contrary to the Schwarzschild spacetime, this geometry is geodesically complete and regular, and, instead of the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Asier Alonso-Bardaji , David Brizuela , Marc Schneider

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Jens Boos

Beginning with Bekenstein, many authors have considered a uniformly spaced discrete quantum spectrum for black hole horizon area. It is also believed that the huge degeneracy of these area levels corresponds to the notion of black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Gilad Gour

A new solution of the Einstein equations for the point mass immersed in the de Sitter Universe is presented. The properties of the metric are very different from both the Schwarzschild black hole and the de Sitter Universe: it is everywhere…

General Relativity and Quantum Cosmology · Physics 2009-01-07 Krzysztof A. Meissner

Through gravitational decoupling using the extended minimal geometric deformation, a new family of static and rotating ``hairy'' black holes is provided. The background of these models is a generic Schwarzschild metric containing as special…

General Relativity and Quantum Cosmology · Physics 2025-01-10 Pablo Leon , B. Mishra , Y. Gomez-Leyton , Francisco Tello-Ortiz

The Schwarzschild's black hole dynamics in presence of gravity is described on using the thermodynamic equations of state for contractile materials. Its entropy and temperature, obtained by using classical principles, reproduce the results…

General Relativity and Quantum Cosmology · Physics 2010-11-04 Fernando Porcelli , Giancarlo Scibona

We apply techniques recently introduced in quantum cosmology to the Schwarzschild metric inside the horizon and near the black hole singularity at r = 0. In particular, we use the quantization introduced by Husain and Winkler, which is…

General Relativity and Quantum Cosmology · Physics 2011-07-18 Leonardo Modesto

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

We study the excitations of a massive Schwarzschild black hole of mass M resulting from the capture of infalling matter described by a massless scalar field. The near-horizon dynamics of this system is governed by a Hamiltonian which is…

High Energy Physics - Theory · Physics 2008-11-26 Kumar S. Gupta , Siddhartha Sen

The Schr\"odinger equation of the Schwarzschild black hole (BH) shows that a BH is composed of a particle, the "electron", interacting with a central field, the "nucleus". Via de Broglie's hypothesis, one interprets the "electron" in terms…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Christian Corda

The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a source is considered. The Schroedinger-type equation for such a model is derived. This equation appeared to be a finite differences equation. A…

General Relativity and Quantum Cosmology · Physics 2014-11-17 V. A. Berezin

The boundary of any observer's spacetime is the boundary that divides what the observer can see from what they cannot see. The boundary of an observer's spacetime in the presence of a black hole is not the true (future event) horizon of the…

General Relativity and Quantum Cosmology · Physics 2018-05-17 Andrew J. S. Hamilton

We study black hole radiation of a Reissner-Nordstrom black hole with an electric charge in the framework of quantum gravity. Based on a canonical quantization for a spherically symmetric geometry, under physically plausible assumptions, we…

High Energy Physics - Theory · Physics 2015-03-19 Ichiro Oda
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