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In this paper we study several aspects of extremal spherical symmetric black hole solutions of four dimensional N=1 supergravity coupled to vector and chiral multiplets with the scalar potential turned on. In the asymptotic region the…

High Energy Physics - Theory · Physics 2013-07-26 Bobby E. Gunara , Freddy P. Zen , Fiki T. Akbar , Agus Suroso , Arianto

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

We consider the $\mathrm{O}(3)$ non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four spacetime dimensions. We show that this simple, geometrically motivated…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

We construct and study general static, spherically symmetric, magnetically charged solutions in Einstein-Maxwell-dilaton gravity in four dimensions. That is, taking Einstein gravity coupled to a ${\rm U}(1)$ gauge field and a massless…

High Energy Physics - Theory · Physics 2023-03-24 Achilleas P. Porfyriadis , Grant N. Remmen

We explicitly find an exact spherically symmetric solution in quadratic non-metricity gravity. We show that the quadratic term acts as a cosmological constant. This solution contradicts all the claims in the literature that there is no…

General Relativity and Quantum Cosmology · Physics 2025-08-05 G. G. L. Nashed , Kazuharu Bamba

We study conformally-invariant theories of gravity in six dimensions. In four dimensions, there is a unique such theory that is polynomial in the curvature and its derivatives, namely Weyl-squared, and furthermore all solutions of Einstein…

High Energy Physics - Theory · Physics 2013-05-21 H. Lu , Y. Pang , C. N. Pope

We investigate the static, spherically symmetric black hole solutions in the quasi-dilaton model and its generalizations, which are scalar extended dRGT massive gravity with a shift symmetry. We show that, unlike generic scalar extended…

High Energy Physics - Theory · Physics 2016-04-28 De-Jun Wu , Shuang-Yong Zhou

In this work, we study a vector model of spontaneous spacetime-symmetry breaking coupled to gravity: the bumblebee model. The primary focus is on static spherically symmetric solutions. Complementing previous work on black hole solutions,…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Quentin G. Bailey , Hailey S. Murray , Dario T. Walter-Cardona

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

This is the second article of a series or two, proving a generalisation of the uniqueness theorem of the Schwarzschild solution. The theorem to be shown classifies all (metrically complete) solutions of the static vacuum Einstein equations…

General Relativity and Quantum Cosmology · Physics 2018-06-05 Martín Reiris Ithurralde

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

We investigate non-linear, spherically symmetric solutions to the coupled system of a quintessence field and Einstein gravity. In the presence of a scalar potential, we find regular solutions that to an outside observer very closely…

Astrophysics · Physics 2009-06-23 Timm Krueger , Matthias Neubert , Christof Wetterich

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing…

High Energy Physics - Theory · Physics 2014-11-18 Rong-Gen Cai , Anzhong Wang

In this paper, we have systematically discussed the existence of the spherically symmetric wormhole solutions in the framework of $f(Q,\,T)$ gravity under two interesting non-commutative geometries such as Gaussian and Lorentzian…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Moreshwar Tayde , Zinnat Hassan , P. K. Sahoo

1- It is shown that the upper bound for $\alpha$ in the general solutions of spherically symmetric vacuum field equations(gr-qc/9812081,$\Lambda$=0) is nearly 10^3.This has been obtained by comparing the theoretical prediction for bending…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Soheila Gharanfoli , Amir H. Abbassi

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different…

General Relativity and Quantum Cosmology · Physics 2014-05-05 Iftikhar Ahmad , Maqsoom Fatima , Najam-ul-Basat

We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein-Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for…

General Relativity and Quantum Cosmology · Physics 2019-09-05 João L. Costa , José Natário , Pedro Oliveira

We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Igor Nikitin

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 a spherically symmetric and static exact solution of Quantum Einstein Equations. This solution is asymptotically (for large $r$) identical with the black hole solution on the anti--De Sitter background and, for some range of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 J. Kowalski - Glikman