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We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS$_4$ vacuum…

High Energy Physics - Theory · Physics 2015-06-05 Taeyoon Moon , Yun Soo Myung

In this paper, the Maxwell extension of the special-affine algebra is obtained and corresponding non-linear realization is constructed. We give also the differential realization of the generators of the extended symmetry. Moreover, we…

High Energy Physics - Theory · Physics 2018-12-21 Salih Kibaroğlu , Mustafa Şenay , Oktay Cebecioğlu

The leitmotif of this paper is the question of whether four- and higher even-dimensional Conformal Gravities do have a Chern-Simons pedigree. We show that Weyl gravity can be obtained as dimensional reduction of a five-dimensional…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Rodrigo Aros , Danilo E. Diaz

We couple a conformal scalar field in (2+1) dimensions to Einstein gravity with torsion. The field equations are obtained by a variational principle. We could not solve the Einstein and Cartan equations analytically. These equations are…

General Relativity and Quantum Cosmology · Physics 2018-06-06 H. T. Özçelik , R. Kaya , M. Hortaçsu

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions…

General Physics · Physics 2024-08-12 S. I. Kruglov

We look at general braneworlds in six-dimensional Einstein-Gauss-Bonnet gravity. We find the general matching conditions for the Einstein-Gauss-Bonnet braneworld, which remarkably turn out to give precisely the four-dimensional Einstein…

High Energy Physics - Theory · Physics 2009-11-10 Paul Bostock , Ruth Gregory , Ignacio Navarro , Jose Santiago

Recently, a $4$-index generalization of the Einstein theory is proposed by Moulin (Eur. Phys. J. C 77, 878 (2017)). Using this method, we find the most general $2$-index field equations derivable from the Einstein-Hilbert action. The…

General Physics · Physics 2019-03-06 H. Moradpour , I. Licata , C. Corda , Ines G. Salako

We study linearized gravity in a six-dimensional Einstein-Maxwell model of warped braneworlds, where the extra dimensions are compactified by a magnetic flux. It is difficult to construct a strict codimension two braneworld with matter…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Kobayashi , Masato Minamitsuji

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four…

General Relativity and Quantum Cosmology · Physics 2018-10-01 Natalia Alkofer

We consider a six-dimensional axisymmetric Einstein-Maxwell model of warped braneworlds. The bulk is bounded by two branes, one of which is a conical 3-brane and the other is a 4-brane wrapped around the axis of symmetry. The latter brane…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Kobayashi , Yu-ichi Takamizu

We present a brane-world scenario in which two regions of $AdS_5$ space-time are glued together along a 3-brane with constant positive curvature such that {\em all} spatial dimensions form a compact manifold of topology $S^4$. It turns out…

High Energy Physics - Theory · Physics 2009-11-10 A. Gruppuso , E. Roessl , M. Shaposhnikov

In Einstein gravity there is a simple procedure to build D-dimensional spacetimes starting from (D-1)-dimensional ones, by stacking any (D-1)-dimensional Ricci-flat metric into the extra-dimension. We analyze this procedure in the context…

High Energy Physics - Theory · Physics 2014-11-18 Carlos Barcelo , Roy Maartens , Carlos F. Sopuerta , Fermin Viniegra

Determining cosmological field equations represents a still very debated matter and implies a wide discussion around different theoretical proposals. A suitable conceptual scheme could be represented by gravity models that naturally…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Antonio Troisi

The Maxwell algebra is the result of enlarging the Poincar\'{e} algebra by six additional tensorial Abelian generators that make the fourmomenta non-commutative. We present a local gauge theory based on the Maxwell algebra with vierbein,…

High Energy Physics - Theory · Physics 2015-06-03 J. A. de Azcarraga , K. Kamimura , J. Lukierski

The Einstein-Hilbert action (and thus the dynamics of gravity) can be obtained by combining the principle of equivalence, special relativity and quantum theory in the Rindler frame and postulating that the horizon area must be proportional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Padmanabhan

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

High Energy Physics - Theory · Physics 2008-03-21 Jorge Zanelli

A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by D. Glavan and C. Lin [Phys. Rev. Lett. 124, 081301 (2020)], which is intended to bypass the Lovelock's theorem and to yield a non-trivial contribution to the…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Ke Yang , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

We consider four-dimensional quadratic gravity coupled to infinite towers of free massive scalar fields, Weyl fermions and vector bosons. We find that for specific numbers of towers, finite cosmological and Newton constants are induced in…

High Energy Physics - Theory · Physics 2019-12-24 Alex Kehagias , Hervé Partouche , Balthazar de Vaulchier

We review the topic of 4D Einstein-Gauss-Bonnet gravity, which has been the subject of considerable interest over the past two years. Our review begins with a general introduction to Lovelock's theorem, and the subject of Gauss-Bonnet terms…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne