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In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

We present an investigation of spinning black holes in Einstein--Gauss-Bonnet--dilaton (EGBd) theory. The solutions are found within a non-perturbative approach, by directly solving the field equations. These stationary axially symmetric…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Burkhard Kleihaus , Jutta Kunz , Sindy Mojica , Eugen Radu

The massive wave equation $\Box_g \psi - \alpha\frac{\Lambda}{3} \psi = 0$ is studied on a fixed Kerr-anti de Sitter background $(\mathcal{M},g_{M,a,\Lambda})$. We first prove that in the Schwarzschild case (a=0), $\psi$ remains uniformly…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Gustav Holzegel

Local condition that imply the no-hair property of black holes are completed. The conditions take the form of constraints on the geometry of the 2-dimensional crossover surface of black hole horizon. They imply also the axial symmetry…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Jerzy Lewandowski , Adam Szereszewski

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

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

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

It has long been known that no static, spherically symmetric, asymptotically flat Klein-Gordon scalar field configuration surrounding a nonrotating black hole can exist in general relativity. In a series of previous papers we proved that,…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Dario Nunez , Olivier Sarbach

We observe that a large class of well behaved stationary and axisymmetric black hole solutions in general relativity and in the Einstein-Maxwell theory can be classified according to the properties of their background. Indeed all these…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Marco Astorino

The non-existence of asymptotically flat, neutral black holes and asymptotically flat, charged black holes in the Maxwell electrodynamics, with non-trivial scalar field has been proved for a large class of scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

In this work the evolution of two fields of matter in planar symmetric black holes D-dimensional with symmetry of Lifshitz whose dynamic exponent is $z$ were analyzed. The fields investigated were a scalar field non-minimal coupled to the…

General Relativity and Quantum Cosmology · Physics 2021-05-14 João Ider

We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in five-dimensional vacuum…

High Energy Physics - Theory · Physics 2025-10-03 Jun-ichi Sakamoto , Shinya Tomizawa

In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of three dimensional symmetric space $\sigma$-model obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Breitenlohner , Dieter Maison

Using perturbative expansion in terms of powers of the rotation parameter $a$ we construct the axisymmetric and asymptotically flat black-hole metric in the $D$-dimensional Einstein-Gauss-Bonnet theory. In five-dimensional spacetime we find…

General Relativity and Quantum Cosmology · Physics 2020-10-15 R. A. Konoplya , A. Zhidenko

Recent results show that when non-linear electrodynamics is considered the no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which are valid for the cases of neutral black holes and charged black holes in the Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

We show that the asymptotic boundary conditions of general asymptotically flat black holes in four dimensions can be modified such that a conformal symmetry emerges. The black holes with the asymptotic geometry removed in this manner…

High Energy Physics - Theory · Physics 2015-06-03 Mirjam Cvetic , Finn Larsen

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

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

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

In recent series of papers, we found an arbitrary dimensional, time-evolving and spatially-inhomogeneous solutions in Einstein-Maxwell-dilaton gravity with particular couplings. Similar to the supersymmetric case the solution can be…

High Energy Physics - Theory · Physics 2011-02-02 Masato Nozawa , Kei-ichi Maeda