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"Einstein-aether" theory is a generally covariant theory of gravity containing a dynamical preferred frame. This article continues an examination of effects on the motion of binary pulsar systems in this theory, by incorporating effects due…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Brendan Z. Foster

We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom of the theory. The general construction…

High Energy Physics - Theory · Physics 2014-08-06 Garrett Goon , A. Emir Gumrukcuoglu , Kurt Hinterbichler , Shinji Mukohyama , Mark Trodden

The weak field approximation in a model of de Sitter gravity is investigated in the static and spherically symmetric case, under the assumption that the vacuum spacetime without perturbations from matter fields is a torsion-free de Sitter…

General Relativity and Quantum Cosmology · Physics 2013-06-12 Jia-An Lu , Chao-Guang Huang

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction…

High Energy Physics - Theory · Physics 2012-12-24 Gregory Gabadadze , Kurt Hinterbichler , Justin Khoury , David Pirtskhalava , Mark Trodden

The kinematical phase space of classical gravitational field is flat (affine) and unbounded. Because of this, field variables may tend to infinity leading to appearance of singularities, which plague Einstein's theory of gravity. The…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Danilo Artigas Guimarey , Jakub Mielczarek , Carlo Rovelli

The recent discovery of a ghost-free, non-linear extension of the Fierz-Pauli theory of massive gravity, and its bigravity formulation, introduced new possibilities of interpreting cosmological observations, in particular, the apparent…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-03 Yashar Akrami , Tomi S. Koivisto , Marit Sandstad

We consider a consistent linear effective vielbein matter coupling without introducing the Boulware-Deser ghost in ghost-free massive gravity. This is achieved in the partially constrained vielbein formulation. We first introduce the…

High Energy Physics - Theory · Physics 2016-01-13 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama

We present a formalism to calculate the non-linear matter power spectrum in modified gravity models that explain the late-time acceleration of the Universe without dark energy. Any successful modified gravity models should contain a…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-03 Kazuya Koyama , Atsushi Taruya , Takashi Hiramatsu

We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. Cadoni , M. Casula

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

We propose a new approach to the quasitopological theory of gravity based on a modified classical double--copy construction. Focusing on static, spherically symmetric configurations, we show that all vacuum solutions of $D$--dimensional…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Valeri P. Frolov

Weak field approximate solutions in the Lambda-->0 limit of a model of de Sitter gravity have been presented in the static and spherically symmetric case. Although the model looks different from general relativity, among those solutions,…

General Relativity and Quantum Cosmology · Physics 2013-02-19 Jia-An Lu , Chao-Guang Huang

There has been a lot of research interest in modified gravity theories which utilise the Vainshtein mechanism to recover standard general relativity in regions with high matter density, such as the Dvali-Gabadadze-Porrati and Galileon…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-24 Baojiu Li , Gong-Bo Zhao , Kazuya Koyama

We employ a linear stability analysis approach to explore the dynamics of matter and curvature-driven dark energy interactions within the framework of two types of viable $f(R)$ gravity models. The interaction is modeled via a source term…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Anirban Chatterjee , Yungui Gong

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

The St\"uckelberg analysis of nonlinear massive gravity in the presence of a general fiducial metric is investigated. We develop a "covariant" formalism for the St\"uckelberg expansion by working with a local inertial frame, through which…

General Relativity and Quantum Cosmology · Physics 2015-01-26 Xian Gao , Tsutomu Kobayashi , Masahide Yamaguchi , Daisuke Yoshida

The Janis-Newman-Winicour metric is a solution of Einstein's gravity minimally coupled to a real massless scalar field. The $\gamma$-metric is instead a vacuum solution of Einstein's gravity. These spacetimes have no horizon and possess a…

General Relativity and Quantum Cosmology · Physics 2018-03-08 Hrishikesh Chakrabarty , Carlos A. Benavides-Gallego , Cosimo Bambi , Leonardo Modesto

Very Special Linear Gravity (VSL-Gravity) is an alternative model of linearized gravity that incorporates massive gravitons while retaining only two physical degrees of freedom thanks to gauge invariance. Recently, the gravitational…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Alexander Bonilla , Alessandro Santoni , Rafael C. Nunes , Jackson Levi Said

One of the main problems that emergent-gravity approaches face is explaining how a system that does not contain gauge symmetries ab initio might develop them effectively in some regime. We review a mechanism introduced by some of the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

A class of Modified Gravity Models, consisting of inverse powers of linear combination of quadratic curvature invariants, is studied in the full parameter space. We find that singularity-free cosmological solutions, interpolating between an…

Astrophysics · Physics 2009-06-23 Antonio De Felice , Mark Hindmarsh