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Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We discuss a number of long-standing theoretical questions about collapse to black holes in the Brans-Dicke theory of gravitation. Using a new numerical code, we show that Oppenheimer-Snyder collapse in this theory produces black holes that…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Mark A. Scheel , Stuart L. Shapiro , Saul A. Teukolsky

In four-dimensional scalar-tensor theories derived via dimensional regularization with a conformal rescaling of the metric, we study the stability of planar black holes (BHs) whose horizons are described by two-dimensional compact Einstein…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Antonio De Felice , Shinji Tsujikawa

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the Maxwell…

General Relativity and Quantum Cosmology · Physics 2011-08-17 K. A. Bronnikov

Static, spherically symmetric configurations of gravity with nonminimally coupled scalar fields are considered in D-dimensional space-times in the framework of generalized scalar-tensor theories. We seek special cases when the system has no…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Bronnikov

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

General Relativity and Quantum Cosmology · Physics 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

In theories with derivative (self-)interactions, the propagation of perturbations on nontrivial field configurations is determined by effective metrics. Generalized scalar-tensor theories belong in this class and this implies that the…

General Relativity and Quantum Cosmology · Physics 2018-09-07 Robert Benkel , Nicola Franchini , Mehdi Saravani , Thomas P. Sotiriou

The singularity of the black hole solutions obtained before in M{\o}ller's theory are studied. It is found that although the two solutions reproduce the same associated metric the asymptotic behavior of the scalars of torsion tensor and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Gamal G. L. Nashed

Hawking has proven that black holes which are stationary as the endpoint of gravitational collapse in Brans--Dicke theory (without a potential) are no different than in general relativity. We extend this proof to the much more general class…

General Relativity and Quantum Cosmology · Physics 2012-03-07 Thomas P. Sotiriou , Valerio Faraoni

In our previous papers we have analyzed the stability of vacuum and electrovacuum static, spherically symmetric space-times in the framework of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity. In the present…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Rustam Ibadov , Feruza Y. Shaymanova

Research on black holes and their physical proprieties has been active on last 90 years. With the appearance of the String Theory and the Braneworld models as alternative descriptions of our Universe, the interest on black holes, in these…

General Relativity and Quantum Cosmology · Physics 2010-05-26 A. B. Pavan

A step-by-step approach is followed to study cosmic structures in the context of Brans-Dicke theory with positive cosmological constant $\Lambda$ and parameter $\omega$. First, it is shown that regular stationary black-hole solutions not…

General Relativity and Quantum Cosmology · Physics 2015-11-04 Sourav Bhattacharya , Konstantinos F. Dialektopoulos , Antonio Enea Romano , Theodore N. Tomaras

We study black hole solutions in general relativity coupled to a unit timelike vector field dubbed the "aether". To be causally isolated a black hole interior must trap matter fields as well as all aether and metric modes. The theory…

General Relativity and Quantum Cosmology · Physics 2010-03-30 Christopher Eling , Ted Jacobson

We analyze the near-horizon symmetries of static, axisymmetric, four-dimensional black holes with spherical and toroidal horizon topologies in vacuum general relativity. These black hole solutions, collectively referred to as…

General Relativity and Quantum Cosmology · Physics 2025-09-23 M. M. Akbar , S. M. Modumudi

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Pedro Bargueño , Elias C. Vagenas

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

In this paper, we take into account black hole solutions of Brans-Dicke-Maxwell theory and investigate their stability and phase transition points. We apply the concept of geometry in thermodynamics to obtain phase transition points and…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. H. Hendi , S. Panahiyan , B. Eslam Panah , Z. Armanfard

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

We investigate vacuum static black hole solutions of Einstein-Gauss-Bonnet gravity with a negative cosmological constant in five dimensions. These are solutions with horizons of nontrivial topologies. The first one possesses a horizon with…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Yuxuan Peng

In this paper, we present static and spherically symmetric vacuum solutions to the mass-dimension $d\leq 4$ action of an effective-field theory, choosing the diffeomorphism symmetry to be broken explicitly. By using the reduced-action…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Samy Aoulad Lafkih , Nils A. Nilsson , Marie-Christine Angonin , Christophe Le Poncin-Lafitte