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Related papers: Quintessential Quartic Quasi-topological Quartet

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We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

General Relativity and Quantum Cosmology · Physics 2011-01-27 Julio Oliva , Sourya Ray

Quasi-topological gravity is a new gravitational theory including curvature-cubed interactions and for which exact black hole solutions were constructed. In a holographic framework, classical quasi-topological gravity can be thought to be…

High Energy Physics - Theory · Physics 2015-03-14 Robert C. Myers , Miguel F. Paulos , Aninda Sinha

A four-dimensional regularization of Lovelock-Lanczos gravity up to an arbitrary curvature order is considered. We show that Lovelock-Lanczos terms can provide a non-trivial contribution to the Einstein field equations in four dimensions,…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Alessandro Casalino , Aimeric Colleaux , Massimiliano Rinaldi , Silvia Vicentini

In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where $g_{tt} g_{rr} \ne…

High Energy Physics - Theory · Physics 2023-03-29 Feiyu Chen

In this paper, we present the static charged solutions of quartic quasitopological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Mohammad Ghanaatian , Afsaneh Bazrafshan

The Lovelock gravity extends the theory of general relativity to higher dimensions in such a way that the field equations remain of second order. The theory has many constant coefficients with no a priori meaning. Nevertheless it is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Anderson Ilha , Antares Kleber , Jose' P. S. Lemos

A $(3+1)$-dimensional Einstein-Gauss-Bonnet theory of gravity has been recently formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. {\bf 124}, 081301 (2020)] which is different from the pure Einstein theory, i.e., bypasses the Lovelock's…

General Relativity and Quantum Cosmology · Physics 2020-09-21 R. A. Konoplya , A. Zhidenko

Quasi-topological theories of gravity are known to resolve black-hole singularities. We investigate whether the same mechanism can remove cosmological singularities. Focusing on non-polynomial curvature quasi-topological gravities in $d=4$…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Johanna Borissova , João Magueijo

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

In the current review, we provide a summary of the recent progress made in the cosmological aspect of extra-dimensional Lovelock gravity. Our review covers a wide variety of particular model/matter source combinations:…

General Relativity and Quantum Cosmology · Physics 2024-12-03 Sergey Pavluchenko

It is shown that Einstein gravity in four dimensions with small cosmological constant and small extra dimensions can be obtained by spontaneous compactification of Lovelock gravity in vacuum. Assuming that the extra dimensions are compact…

High Energy Physics - Theory · Physics 2009-09-09 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso , Steven Willison

We investigate the cosmological implications of non-polynomial quasi-topological gravity (NPQTG), a novel class of modified gravitational theories in which the background dynamics is encoded in a single function of the Hubble parameter.…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Emmanuel N. Saridakis

Adding terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable. This property is preserved in the presence of the most general renormalizable couplings with (and of) a generic quantum field theory…

High Energy Physics - Theory · Physics 2018-08-23 Alberto Salvio

As we know that the Lovelock theory is an extension of the general relativity to the higher-dimensions, in this theory the first and the second order terms correspond to the general relativity and the Einstein-Gauss-Bonnet gravity,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Sushant G. Ghosh , Muhammed Amir , Sunil D. Maharaj

Spacetime wormholes are evidently an essential component of the construction of a time machine. Within the context of general relativity, such objects require, for their formation, exotic matter -- matter that violates at least one of the…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Mengqi Lu , Jiayue Yang , Robert B. Mann

In this thesis, we focus on higher-curvature extensions of Einstein gravity as toy models to probe universal properties of conformal field theory (CFT) using the gauge/gravity duality. In this context, we are particularly interested in…

High Energy Physics - Theory · Physics 2022-07-27 Javier Moreno

We explore the possibility that quadratic gravity, as a renormalizable theory, describes the interior of quantum black holes. We find new exact power-law solutions to pure quadratic gravity under spherical symmetry, which are complex…

High Energy Physics - Theory · Physics 2025-02-13 Ruolin Liu , Jerome Quintin , Niayesh Afshordi

Quasi-topological gravities (QTGs) are higher-curvature extensions of Einstein gravity in $D\geq 5$ spacetime dimensions. Throughout the years, different notions of QTGs constructed from analytic functions of polynomial curvature invariants…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Pablo Bueno , Robie A. Hennigar , Ángel J. Murcia

Quadratic gravity is a well-motivated extension of general relativity~(GR) wherein the Einstein-Hilbert action is augmented by quadratic curvature terms. This theory is equivalent to GR in an effective-field-theory framework, while the two…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

Based on a family of indefinite unitary representations of the diffeomorphism group of an oriented smooth $4$-manifold, a manifestly covariant $4$ dimensional and non-perturbative algebraic quantum field theory formulation of gravity is…

High Energy Physics - Theory · Physics 2017-01-18 Gabor Etesi