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Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for the scalar field is considered, there is a…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Juan Pablo Staforelli , Ricardo Troncoso

An exact spherically symmetric black hole solution of a recently proposed noncommutative gravity theory based on star products and twists is constructed. This is the first nontrivial exact solution of that theory. The resulting…

High Energy Physics - Theory · Physics 2009-06-16 Peter Schupp , Sergey Solodukhin

A four-dimensional static black hole solution of Einstein equation conformally coupled to a massive and self interacting scalar field is obtained. A nontrivial scalar solution proposes a weak scalar hair. A dressed black hole shows a trace…

General Relativity and Quantum Cosmology · Physics 2008-05-30 P. I. Kuriakose , V. C. Kuriakose

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

General Relativity and Quantum Cosmology · Physics 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

We present explicit black holes endowed with primary scalar hair within the shift-symmetric subclass of Beyond Horndeski theories. These solutions depend, in addition to the conventional mass parameter, on a second free parameter encoding…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur , Theodoros Nakas

We present spherically symmetric solutions to Einstein's equations which are equivalent to canonical Schwarzschild and Reissner-Nordstrom black holes on the exterior, but with singular (Planck-density) shells at their respective event and…

High Energy Physics - Theory · Physics 2019-02-27 David E. Kaplan , Surjeet Rajendran

When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in…

High Energy Physics - Theory · Physics 2017-11-22 Rachel A Rosen

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

We present a conservative approach to the black hole singularity problem that remains within the framework of classical General Relativity (GR) supplemented by semiclassical quantum field theory (QFT). Our construction replaces the singular…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Nikhil Bachhawat

Within a framework requiring a well-defined event horizon and matter obeying the weak energy condition, we employ gravitational decoupling method to construct non-singular hairy black holes: spherically or axially symmetric. These solutions…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Zhenglong Ban , Tian-You Ren , Jia-Jun Yin , Rong-Jia Yang

We present a stationary spherically symmetric solution of the Einstein equations, with a source generated by a scalar field of $q$-theory. In this theory Riemannian gravity, as described by the Einstein - Hilbert action, is coupled to a…

General Relativity and Quantum Cosmology · Physics 2023-07-26 M. Selch , J. Miller , M. A. Zubkov

We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant - curvature spatial sections. Both vacuum and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. N. Tentyukov

We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar $T$ to be constant. We discuss the models falling in…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Marco Calzá an Lorenzo Sebastiani

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova

A class of exact static spherically symmetric solutions of the Einstein-Maxwell gravity coupled to a massless scalar field has been obtained in harmonic coordinates of the Minkowski space-time. For each value of the coupling constant $a$,…

High Energy Physics - Theory · Physics 2015-06-26 Slava G. Turyshev

We address the question of the uniqueness of the Schwarzschild black hole by considering the following question: How many meaningful solutions of the Einstein equations exist that agree with the Schwarzschild solution (with a fixed mass m)…

High Energy Physics - Theory · Physics 2016-11-15 Matthias Blau , Martin O'Loughlin

We derive all hairy stealth black holes in the most general second-order, shift symmetric, scalar-tensor theory with luminally propagating gravitational waves, often called kinetic gravity braiding. Our approach exploits an overlooked…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Reginald Christian Bernardo , John Celestial , Ian Vega

We study asymptotically flat black holes with massive graviton hair within the ghost-free bigravity theory. There have been contradictory statements in the literature about their existence -- such solutions were reported some time ago, but…

High Energy Physics - Theory · Physics 2021-01-04 Romain Gervalle , Mikhail S. Volkov

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Bojowald
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