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Related papers: Born-Infeld extension of new massive gravity

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Three dimensional Eddington-inspired Born--Infeld gravity is studied with the goal of finding new solutions. Beginning with cosmology, we obtain analytical and numerical solutions for the scale factor, a(t), in spatially flat (k=0) and…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Soumya Jana , Sayan Kar

Generalized Quasitopological Gravities (GQTGs) are higher-order extensions of Einstein gravity in $D$ dimensions satisfying a number of interesting properties, such as possessing second-order linearized equations of motion on top of…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Javier Moreno , Ángel J. Murcia

Recently, inspired by Eddington's theory, an alternative gravity called Eddington-inspired Born-Infeld gravity was proposed by Ba$\tilde{\text{n}}$ados and Ferreira. It is equivalent to Einstein's general relativity in vacuum, but deviates…

High Energy Physics - Theory · Physics 2012-06-26 Yu-Xiao Liu , Ke Yang , Heng Guo , Yuan Zhong

It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Rafael Ferraro , Franco Fiorini

We construct a Born-Infeld-type $f(R,{\cal G})$ modification of gravity, where ${\cal G}$ is the Gauss-Bonnet term, by embedding Born-Infeld electrodynamics in a five-dimensional pure modified gravity. This method leads to the…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Yermek Aldabergenov , Wei Lin , Rongjian Li , Ding Ding , Yidun Wan

In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version…

High Energy Physics - Theory · Physics 2018-11-20 Gokhan Alkac , Mustafa Tek , Bayram Tekin

In the present work we find novel Newtonian gravity models in three spacetime dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular…

High Energy Physics - Theory · Physics 2020-11-05 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez , Gustavo Rubio

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

We revisit an emergent gravity scenario in $(4+1)$ dimensions underlying a propagating geometric torsion ${\cal H}_3$ with a renewed interest. We show that a pair-symmetric $4$th order curvature tensor is sourced by a two-form Neveu-Schwarz…

High Energy Physics - Theory · Physics 2021-02-24 R. Nitish , Supriya Kar

Using the action of three dimensional New Massive Gravity (NMG) we construct a new bi-gravity in three dimensions. This can be done by promoting the rank two auxiliary field appearing in the expression of NMG's action into a dynamical…

High Energy Physics - Theory · Physics 2016-05-31 Amin Akhavan , Mohsen Alishahiha , Ali Naseh , Azadeh Nemati , Ahmad Shirzad

We study the cosmology of the complete quadratic (in torsion and nonmetricity) metric-affine gravity. Namely, we add to the scalar-curvature gravitational Lagrangian, the 17 independent quadratic (parity-even and parity-odd) torsion and…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Damianos Iosifidis , Konstantinos Pallikaris

A simple technique for the construction of gravity theories in Born-Infeld style is presented, and the properties of some of these novel theories are investigated. They regularize the positive energy Schwarzschild singularity, and a large…

High Energy Physics - Theory · Physics 2009-11-10 Mattias N. R. Wohlfarth

We develop techniques of analyzing the unitarity of general Born-Infeld (BI) gravity actions in D-dimensional spacetimes. Determinantal form of the action allows us to find a compact expression quadratic in the metric fluctuations around…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive…

High Energy Physics - Theory · Physics 2014-11-20 Eric Bergshoeff , Olaf Hohm , Paul Townsend

The topological aspects of Einstein gravity suggest that topological invariance could be a more profound principle in understanding quantum gravity. In this work, we explore a topological supergravity action that initially describes a…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Tianyao Fang , Zheng-Cheng Gu

We propose a novel modified gravity: unimodular generalization of the Born-Infeld-$f(R)$ gravity within the framework of cosmology. After formulating the action corresponding to the generalized Born-Infeld-$f(R)$ gravity, we present a…

General Relativity and Quantum Cosmology · Physics 2024-02-16 Salih Kibaroğlu , Sergei D. Odintsov , Tanmoy Paul

In this paper, we investigate a three-dimensional gravitational model known as Minimal Massive Gravity (MMG), which includes an auxiliary field, using the covariant phase space method. Our analysis reveals the presence of three gauge…

High Energy Physics - Theory · Physics 2025-07-24 Kang Liu , Xiao-Mei Kuang

We obtain a three-parameter family of massive N=1 supergravities in three dimensions from the 3-sphere reduction of an off-shell N=(1,0) six-dimensional Poincare supergravity that includes a curvature squared invariant. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Lu , C. N. Pope , E. Sezgin

Noncommutative gravity in three dimensions with vanishing cosmological constant is examined. We find a solution which describes a spacetime in the presence of a torsional source. We estimate the phase shift for each partial wave of a scalar…

High Energy Physics - Theory · Physics 2010-11-11 Kiyoshi Shiraishi , Kenji Sakamoto , Nahomi Kan

Eddington-inspired Born-Infeld gravity was recently proposed as an alternative to general relativity that offers a resolution of spacetime singularities. The theory differs from Einstein's gravity only inside matter due to nondynamical…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Paolo Pani , Thomas P. Sotiriou