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We discuss exact scalar field solutions describing gravitating compact objects in the Eddington-inspired Born-Infeld gravity (EiBI), a member of the class of (metric-affine formulated) Ricci-based gravity theories (RBGs). We include a…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Victor I. Afonso

We study the correspondence that connects the space of solutions of General Relativity (GR) with that of Ricci-based Gravity theories (RBGs) of the $f(R,Q)$ type in the metric-affine formulation, where $Q=R_{(\mu\nu)}R^{(\mu\nu)}$. We focus…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Renan B. Magalhães , Luís C. B. Crispino , Gonzalo J. Olmo

Motivated by the lack of rotating solutions sourced by matter in General Relativity as well as in modified gravity theories, we extend a recently discovered exact rotating solution of the minimal Einstein-scalar theory to its counterpart in…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Wei-Hsiang Shao , Che-Yu Chen , Pisin Chen

The existence of static, spherically symmetric, self-gravitating scalar field solutions in the context of Born-Infeld gravity is explored. Upon a combination of analytical approximations and numerical methods, the equations for a free…

General Relativity and Quantum Cosmology · Physics 2017-09-06 V. I. Afonso , Gonzalo J. Olmo , D. Rubiera-Garcia

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

The so-called hybrid metric-Palatini theory of gravity (HMPG), proposed in 2012 by T. Harko et al., is known to successfully describe both local (solar-system) and cosmological observations. This paper gives a complete description of…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov

In this letter, we obtain two new embedded WH solutions by using the class-I approach in the background of newly fourth-order Ricci inverse gravity. We show that the combination of these newly calculated shape functions and Ricci inverse…

General Relativity and Quantum Cosmology · Physics 2024-04-09 G. Mustafa , Faisal Javed , S. K. Maurya , Abdelghani Errehymy

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

General Relativity and Quantum Cosmology · Physics 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

An introduction to extended theories of gravity formulated in metric-affine (or Palatini) spaces is presented. Focusing on spherically symmetric configurations with electric fields, we will see that in these theories the central singularity…

High Energy Physics - Theory · Physics 2016-07-25 Gonzalo J. Olmo

We present a four-dimensional Planck-scale corrected quadratic extension of General Relativity (GR) where no a priori relation between metric and connection is imposed (Palatini formalism). Static spherically symmetric electrovacuum…

High Energy Physics - Theory · Physics 2015-12-09 Francisco S. N. Lobo , Gonzalo J. Olmo , D. Rubiera-Garcia

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 describe a simple technique for generating solutions to the classical field equations for an arbitrary nonlinear sigma-model minimally coupled to gravity. The technique promotes an arbitrary solution to the coupled Einstein/Klein-Gordon…

High Energy Physics - Theory · Physics 2023-08-24 Philippe Brax , C. P. Burgess , F. Quevedo

In this paper, we generalize the Schwarzschild-Melvin solution within Einstein-Maxwell-dilaton theories to include non-null scalar charges, while remaining embedded in a magnetic or electric field \textit{\`a la Melvin}. We then use this…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Olivier Minazzoli , Maxime Wavasseur

We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. This complements previous…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Adria Delhom , Gonzalo J. Olmo , Emanuele Orazi

Two new exact analytical solutions of the euclidean Einstein equations for a minimal massless scalar field and negative cosmological constant have been obtained. These solutions are given in terms of Jacobian elliptic or circular functions,…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

We find constant scalar curvature Type-N and Type-D solutions in all higher curvature gravity theories with actions of the form f(Ricci) that are built on the Ricci tensor, but not on its derivatives. In our construction, these higher…

High Energy Physics - Theory · Physics 2012-07-17 Metin Gurses , Tahsin Cagri Sisman , Bayram Tekin

The current study deals with the new wormhole solutions in the background of fourth order new modified Ricci inverse gravity. Two new classes of the wormhole solutions are analyzed by showing the valid region for the main part of wormhole…

General Relativity and Quantum Cosmology · Physics 2023-12-27 G. Mustafa

We present several new space-periodic solutions of the static vacuum Einstein equations in higher dimensions, both with and without black holes, having Kasner asymptotics. These latter solutions are referred to as gravitational solitons.…

Differential Geometry · Mathematics 2022-04-25 Marcus Khuri , Martin Reiris , Gilbert Weinstein , Sumio Yamada
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