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Related papers: On Birkhoff's theorem in ghost-free bimetric theor…

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Some recent papers have claimed the existence of static, spherically symmetric wormhole solutions to gravitational field equations in the absence of ghost (or phantom) degrees of freedom. We show that in some such cases the solutions in…

General Relativity and Quantum Cosmology · Physics 2014-11-21 K. A. Bronnikov , M. V. Skvortsova , A. A. Starobinsky

We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a corotating frame. Systems that are…

General Relativity and Quantum Cosmology · Physics 2014-11-17 John L. Friedman , Koji Uryu , Masaru Shibata

We consider scalar tensor theories in D-dimensional spacetime, D \ge 4. They consist of metric and a non minimally coupled scalar field, with its non minimal coupling characterised by a function. The probes couple minimally to the metric…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Arjun Bagchi , S. Kalyana Rama

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

We present a canonical quantization framework for static spherically symmetric spacetimes described by the Einstein-Hilbert action with a cosmological constant. In addition to recovering the classical Schwarzschild-(Anti)-de Sitter…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Benjamin Koch , Ali Riahinia

We study spherically symmetric regular and black hole solutions in the Einstein-Skyrme theory with a negative cosmological constant. The Skyrme field configuration depends on the value of the cosmological constant in a similar manner to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Noriko Shiiki , Nobuyuki Sawado

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter…

High Energy Physics - Theory · Physics 2010-11-01 Youngjai Kiem

A static spherically symmetric metric in Einstein-scalar-tensor gravity theory with a scalar field potential $V[\phi]$ is non-singular for all real values of the coordinates. It does not have a black hole event horizon and there is no…

General Relativity and Quantum Cosmology · Physics 2008-06-11 J. W. Moffat

In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole solution and we will study its…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Lorenzo Sebastiani

In this work we characterize all the static and spherically symmetric vacuum solutions in $f(R)$ gravity when the principal null directions of the Weyl tensor are non-expanding. In contrast to General Relativity, we show that the Nariai…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Alberto Guilabert , Pelayo V. Calzada , Pedro Bargueño , Salvador Miret-Artés

New general spherically symmetric solutions have been derived with a cosmological "constant" \Lambda as a source. This \Lambda field is not constant but it satisfies the properties of the asymptotically safe gravity at the ultraviolet fixed…

High Energy Physics - Theory · Physics 2023-09-26 Georgios Kofinas , Vasilios Zarikas

Recently, the construction of ghost-free nonlinear massive spin-2 interactions solved a long outstanding problem in classical field theory. The consistent formulation requires a second rank-two tensor (or metric) and therefore has the form…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Angnis Schmidt-May

We derive a family of exact solutions for bi-metric gravity with an exchange symmetry between the two metrics. In this two-parameter family of solutions the gravitational field is sourced by a time-independent massless scalar field. We find…

General Relativity and Quantum Cosmology · Physics 2016-10-03 S. Hossenfelder

We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The spacetime is regular everywhere except on the symmetry axis where it possess a true curvature…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Debojit Sarma , Faizuddin Ahmed , Mahadev Patgiri

We present a systematic study of static solutions of the vacuum Einstein equations with negative cosmological constant which asymptotically approach the generalized Kottler (``Schwarzschild--anti-de Sitter'') solution, within (mainly) a…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Piotr T. Chrusciel , Walter Simon

We study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

We study generalisations of ghost-free bimetric theory which involve more than two spin-2 fields. The consistent interactions can enter in the form of two different couplings and in the majority of this work we concentrate on the simpler…

General Relativity and Quantum Cosmology · Physics 2017-09-19 Oliver Baldacchino , Angnis Schmidt-May

A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from the boundary. It is proved that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael T. Anderson

In classical two-dimensional pure dilaton gravity, and in particular in spherically symmetric pure gravity in d dimensions, the generalized Birkhoff theorem states that, for a suitable choice of coordinates, the metric coefficients are only…

High Energy Physics - Theory · Physics 2014-11-18 Marco Cavaglia , Vittorio de Alfaro , Alexandre T. Filippov

It is shown that the class of asymptotically flat solutions to the axisymmetric and stationary vacuum Einstein equations with reflection symmetry of the metric is uniquely characterized by a simple relation for the Ernst potential on the…

General Relativity and Quantum Cosmology · Physics 2010-12-23 R. Meinel , G. Neugebauer