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Related papers: Solutions in the generalized Proca theory with the…

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We solve the gravitational field equations for a static, spherically symmetric spacetime within the framework of the symmetric teleparallel theory of gravity. Specifically, we derive new solutions within the context of power-law $f(Q)$…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Nikolaos Dimakis , Petros A. Terzis , Andronikos Paliathanasis , Theodosios Christodoulakis

We discuss static spherically symmetric solutions in a recently proposed non-local infrared modification of Einstein equations induced by a term $m^2g_{\mu\nu}\Box^{-1} R$, where $m$ is a mass scale. We find that, contrary to what happens…

High Energy Physics - Theory · Physics 2015-06-18 Alex Kehagias , Michele Maggiore

We study static and spherically symmetric black hole solutions in higher-order Maxwell-Einstein theories. We do not particularly focus on the degenerate classes of theories. For several specific choices of the coupling functions, we show…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Masato Minamitsuji

Recent works by the second author and Maxwell et al. have shown that the Einstein-scalar field conformal constraint equations are highly complex and generally intractable, even in the vacuum case. In this article, to gain a clearer…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Philippe Castillon , Cang Nguyen-The

The generalized SU(2) Proca theory is a vector-tensor modified gravity theory where the action is invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This work constitutes the first approach to…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Jhan N. Martinez , Jose F. Rodriguez , Yeinzon Rodriguez , Gabriel Gomez

Solutions of Einstein vacuum equations, for a static pseudospherically symmetric system, are presented. They describe a naked singularity and a singular solution with many resemblances to the Schwartzschild solution but with two major…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Luis A. Anchordoqui , Graciela S. Birman , Jose D. Edelstein , Carlos Núñez

We discuss the static axially symmetric regular solutions, obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory [1]. These asymptotically flat solutions are characterized by the winding number $n>1$ and the node…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions…

High Energy Physics - Theory · Physics 2010-11-19 Youngjai Kiem , Dahl Park

We study the behavior of static, spherically symmetric solutions to the field equations of scalar-tensor theories (STT) of gravity belonging to the Bergmann-Wagoner-Nordtvedt class, in the presence of an electric and/or magnetic charge.…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Rustam Ibadov , Feruza Y. Shaymanova

We consider neutron star configurations in the scalar-tensor theory of gravity with the coupling between the kinetic term of a scalar field and the Einstein tensor (such the model is a subclass of Horndeski gravity). Neutron stars in this…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Pavel E. Kashargin , Sergey V. Sushkov

We consider a model consists of the Einstein gravity in four-dimensional spacetime, a Proca field and two Dirac fields through minimum coupling. By numerically solving this model, we obtain two types of solutions: synchronized frequency…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Tian-Xiang Ma , Chen Liang , Ji-Rong Ren , Yong-Qiang Wang

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions…

General Physics · Physics 2016-10-24 Gamal G. L. Nashed

We discuss static, spherically symmetric solutions with an electric field in a quadratic extension of general relativity formulated in the Palatini approach (assuming that metric and connection are independent fields). Unlike the usual…

General Relativity and Quantum Cosmology · Physics 2013-01-14 Gonzalo J. Olmo , D. Rubiera-Garcia

Vector boson stars, or $\textit{Proca stars}$, have been recently obtained as fully non-linear numerical solutions of the Einstein-(complex)-Proca system. These are self-gravitating, everywhere non-singular, horizonless Bose-Einstein…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Nicolas Sanchis-Gual , Carlos Herdeiro , Eugen Radu , Juan Carlos Degollado , José A. Font

The physical modes of a recently proposed D-dimensional "critical gravity", linearized about its anti-de Sitter vacuum, are investigated. All "log mode" solutions, which we categorize as `spin 2' or `Proca', arise as limits of the massive…

High Energy Physics - Theory · Physics 2011-06-02 Eric A. Bergshoeff , Olaf Hohm , Jan Rosseel , Paul K. Townsend

The Schwarzschild-deSitter metric is the known solution of Einstein field equations with cosmological constant term for vacuum spherically symmetric space around a point mass M. Recently it has been reported that in a $Lamda$-dominant world…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amir H. Abbassi

This work analyzes the asymptotic behaviors of the asymptotically flat solutions of Einstein-\ae ther theory in the linear case. The vacuum solutions for the tensor, vector, and scalar modes are first obtained, written as sums of various…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Shaoqi Hou , Anzhong Wang , Zong-Hong Zhu

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos

The coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state are derived. Using numerical methods, we construct an infinite number of soliton-like solutions of these equations.…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

We present the gravitational coupling function $\omega(\phi)$ in the vacuum scalar-tensor theory as allowed by the Noether symmetry. We also obtain some exact cosmological solutions in the spatially homogeneous and isotropic background…

General Relativity and Quantum Cosmology · Physics 2015-06-25 B. Modak , S. Kamilya , S. Biswas