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We study the parameter space of D-dimensional cosmological Einstein gravity together with quadratic curvature terms. In D>4 there are in general two distinct (anti)-de Sitter vacua. We show that for appropriate choice of the parameters…

High Energy Physics - Theory · Physics 2011-03-22 S. Deser , Haishan Liu , H. Lu , C. N. Pope , Tahsin Cagri Sisman , Bayram Tekin

If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of the theory, to be a linear…

High Energy Physics - Theory · Physics 2019-10-30 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

We review the status of "Einstein-Aether theory", a generally covariant theory of gravity coupled to a dynamical, unit timelike vector field that breaks local Lorentz symmetry. Aspects of waves, stars, black holes, and cosmology are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Eling , T. Jacobson , D. Mattingly

We construct new vacuum solutions of the Einstein equations generated from electrovacuum configurations embedded in external electromagnetic backgrounds. Starting from accelerating Bertotti--Robinson black holes, we exploit two independent…

General Relativity and Quantum Cosmology · Physics 2026-03-10 José Barrientos , Adolfo Cisterna , Amaro Díaz , Keanu Müller

Vector-tensor theories beyond General Relativity have widely been studied in the context of ultraviolet completion of gravity, endowing a mass to the graviton and explaining dark energy phenomena. We here construct rotating black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Siddarth Ajith , Alexander Saffer , Kent Yagi

We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct $d$-dimensional static vacuum black hole solutions in any metric theory of gravity for which the Lagrangian is a scalar invariant constructed…

General Relativity and Quantum Cosmology · Physics 2020-02-20 Sigbjørn Hervik , Marcello Ortaggio

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

Here show that, pure affine actions based solely on the Riemann curvature tensor lead to Einstein field equations for gravitation. The matter and radiation involved are general enough to impose no restrictions on material dynamics or vacuum…

High Energy Physics - Theory · Physics 2017-09-27 Durmus Demir , Oktay Dogangun , Tonguc Rador , Selin Soysal

In this paper, we provide a vacuum solution with torsion in quadratic Riemann-curvature gravity. Physically, the solution means that vacuum can have a nonzero vacuum field with large torsion. We show that the Einstein-Hilbert action can be…

High Energy Physics - Theory · Physics 2012-09-04 Kouzou Nishida

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

De Sitter solutions play an important role in cosmology because the knowledge of unstable de Sitter solutions can be useful to describe inflation, whereas stable de Sitter solutions are often used in models of late-time acceleration of the…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Sergey Vernov , Ekaterina Pozdeeva

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

We study Einstein-Maxwell (non-null) sourcefree configurations that can be extended to any conformally invariant non-linear electrodynamics (CINLE) by a constant rescaling of the electromagnetic field. We first obtain a criterion which…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Marcello Ortaggio

Beginning with the self-dual two-forms approach to the Einstein equations, we show how, by choosing basis spinors which are proportional to solutions of the Dirac equation, we may rewrite the vacuum Einstein equations in terms of a set of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 James D. E. Grant

Inspired by non-commutative geometry in string theory, we propose extended derivatives in black hole physics by incorporating a real antisymmetric tensor of rank 2 carrying similarities of certain stringy fields. Using gauge theory…

High Energy Physics - Theory · Physics 2025-11-25 Adil Belhaj , Maryem Jemri

This paper proposes a toy model where, in the Einstein equations, the right-hand side is modified by the addition of a term proportional to the symmetrized partial contraction of the Ricci tensor with the energy-momentum tensor, while the…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Donato Bini , Giampiero Esposito

The cosmological evolution of free massless vector or tensor (but not gauge) fields minimally coupled to gravity is analyzed. It is shown that there are some unstable solutions for these fields in De Sitter background. The back reaction of…

Astrophysics · Physics 2009-12-30 A. D. Dolgov

We formulate a one-parameter extension of Weyl transformations in first-order gravity and show that it defines a conformally coupled scalar sector with dynamical torsion. The construction reduces to the standard torsionless conformal…

High Energy Physics - Theory · Physics 2026-05-27 Luis Avilés , Omar Valdivia , Rodolfo Véliz , Carlos Vera

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt