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We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire

We analyze a class of topological static spherically symmetric vacuum solutions in $f(Q)$-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Marco Calzá , Lorenzo Sebastiani

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

General Relativity and Quantum Cosmology · Physics 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

We study black holes in the recently proposed ghost-free theory with two gravitons, one of which is massive and another is massless. These black holes possess a regular event horizon which is common for both metrics and has the same values…

High Energy Physics - Theory · Physics 2013-05-30 Mikhail S. Volkov

We study spherically-symmetric solutions in Massive Gravity generated by matter sources with polytropic equation of state. We concentrate in the non-perturbative regime where the mass term non-linearities are important, and present the main…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Y. Brihaye , Y. Verbin

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

We discuss some properties of recently proposed models of a ghost-free gravity. For this purpose we study solutions of linearized gravitational equations in the framework of such a theory. We mainly focus on the version of the ghost-free…

High Energy Physics - Theory · Physics 2015-05-22 Valeri P. Frolov , Andrei Zelnikov , Tiberio de Paula Netto

We present a detailed study of the spherically symmetric solutions in Lorentz breaking massive gravity. There is an undetermined function $\mathcal{F}(X, w_1, w_2, w_3)$ in the action of St\"{u}ckelberg fields…

General Relativity and Quantum Cosmology · Physics 2016-04-29 Ping Li , Xin-zhou Li , Ping Xi

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Breno L. Giacchini , Ivan Kolář

In gravitational Higgs mechanism graviton components acquire mass via spontaneous diffeomorphism breaking by scalar vacuum expectation values. We point out that in the massless limit the resulting theory is not Einstein-Hilbert gravity…

High Energy Physics - Theory · Physics 2008-11-26 Zurab Kakushadze

In this paper we investigate wormhole and spherically symmetric solutions in 4D gravity plus a matter source consisting of a ghost scalar field with a sine-Gordon potential. For the wormhole solutions we also include the possibility of…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Vladimir Dzhunushaliev , Vladimir Folomeev , Ratbay Myrzakulov , Douglas Singleton

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein's theory of general relativity. To parameterize…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Marcus Högås , Edvard Mörtsell

Certain non-asymptotically flat but supersymmetric classical solution of the type IIA supergravity can be interpreted as the infinitely-boosted version of the D-particle solution along the M-theory circle. By a chain of T-dual…

High Energy Physics - Theory · Physics 2009-10-30 Seungjoon Hyun , Youngjai Kiem , Hyeonjoon Shin

We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically, there exist such the cosmological background…

High Energy Physics - Theory · Physics 2009-02-09 Masahiro Maeno , Ichiro Oda

A non-singular, static spherically symmetric solution to the nonsymmetric gravitational and electromagnetic theory field equations is derived, which depends on the four parameters m, l^2, Q and s, where m is the mass, Q is the electric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. J. Cornish , J. W. Moffat

We consider the Hassan-Rosen bimetric field equations in vacuum when the two metrics share a single common null direction in a spherically symmetric configuration. By solving these equations, we obtain a class of exact solutions of the…

High Energy Physics - Theory · Physics 2017-08-29 Mikica Kocic , Marcus Högås , Francesco Torsello , Edvard Mortsell

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

We find new, simple cosmological solutions with flat, open, and closed spatial geometries, contrary to the previous wisdom that only the open model is allowed. The metric and the St\"{u}ckelberg fields are given explicitly, showing…

High Energy Physics - Theory · Physics 2015-06-05 Tsutomu Kobayashi , Masaru Siino , Masahide Yamaguchi , Daisuke Yoshida