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We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal ghosts instabilities, acausality and/or…

High Energy Physics - Theory · Physics 2015-06-15 Maud Jaccard , Michele Maggiore , Ermis Mitsou

We propose two new versions of ghost-free generalized $F(R)$ gravity with Lagrange multiplier constraint. The first version of such theory for a particular degenerate choice of the Lagrange multiplier, corresponds to mimetic $F(R)$ gravity.…

General Relativity and Quantum Cosmology · Physics 2017-11-22 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

We analyze the first-order formulation of the ghost-free bigravity model in three-dimensions known as zwei-dreibein gravity. For a special choice of parameters, it was argued to have an additional gauge symmetry and give rise to a partially…

High Energy Physics - Theory · Physics 2015-06-23 Sergei Alexandrov , Cedric Deffayet

Linearized four-derivative gravity with a general gauge fixing term is considered. By a Legendre transform and a suitable diagonalization procedure it is cast into a second-order equivalent form where the nature of the physical degrees of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Bartoli , J. Julve , E. J. Sanchez

Generalized quasi-topological gravities (GQTGs) are higher-curvature extensions of Einstein gravity characterized by the existence of non-hairy generalizations of the Schwarzschild black hole which satisfy $g_{tt}g_{rr}=-1$, as well as for…

High Energy Physics - Theory · Physics 2019-12-16 Pablo Bueno , Pablo A. Cano , Javier Moreno , Ángel Murcia

We show that the problem of ghosts in critical gravity and its higher dimensional extensions can be resolved by giving dynamics to the symmetric rank two auxiliary field existing in the action of these theories. These New Bi-Gravities, at…

High Energy Physics - Theory · Physics 2017-09-12 Amin Akhavan , Ali Naseh , Azadeh Nemati , Ahmad Shirzad

For the two dimensional dilaton-coupled quantum gravity model, we give the local black hole mass, which is an analogue of what was first introduced by Fischler, Morgan and Polchinski in the four dimensional gravitational systems. We analyze…

High Energy Physics - Theory · Physics 2011-04-20 Tsukasa TADA , Shozo UEHARA

The dimensional reduction of (the bosonic sector of) five-dimensional minimal supergravity to four dimensions leads to a theory with a massless axion and a dilaton coupled to gravity and two U(1) gauge fields (one of which has Chern-Simons…

High Energy Physics - Theory · Physics 2015-05-28 Shun'ya Mizoguchi , Shinya Tomizawa

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

In this paper we consider magnetized black holes and black rings in the higher dimensional dilaton gravity. Our study is based on exact solutions generated by applying a Harrison transformation to known asymptotically flat black hole and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stoytcho S. Yazadjiev

The accelerated expansion of the universe poses a significant challenge to General Relativity. Non-local modifications to gravity have emerged as a compelling class of theories to address this dark energy puzzle. Building upon earlier…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Susobhan Mandal , S. Shankaranarayanan

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter…

High Energy Physics - Theory · Physics 2010-11-01 Youngjai Kiem

In the former part, we study the gravitational collapse of pressureless dust and find special solutions, where, in both the physical and fiducial sectors, the exterior and interior spacetime geometries are given by the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Masato Minamitsuji , Antonio De Felice , Shinji Mukohyama , Michele Oliosi

We present a formulation of ghost-free massive gravity with flat reference metric that exhibits the full non-linear constraint algebraically, in a way that can be directly implemented for numerical simulations. Motivated by the presence of…

High Energy Physics - Theory · Physics 2023-02-13 Claudia de Rham , Jan Kożuszek , Andrew J. Tolley , Toby Wiseman

We find that the recently-proposed ghost-free interaction of a 2-form gauge field in four dimensions, which contains derivative couplings in a nonperturbative manner, can be regarded as a resummation of ghostly interaction terms. We…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Kazufumi Takahashi , Daisuke Yoshida

We use conformal supergravity techniques to study four-derivative corrections in four-dimensional gauged supergravity. We show that the four-derivative Lagrangian for the propagating degrees of freedom of the $\mathcal{N}=2$ gravity…

High Energy Physics - Theory · Physics 2023-02-22 Nikolay Bobev , Anthony M. Charles , Kiril Hristov , Valentin Reys

We classify all the six derivative Lagrangians of gravity, whose traced field equations are of second or third order, in arbitrary dimensions. In the former case, the Lagrangian in dimensions greater than six, reduces to an arbitrary linear…

General Relativity and Quantum Cosmology · Physics 2010-12-28 Julio Oliva , Sourya Ray

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically…

High Energy Physics - Theory · Physics 2009-10-28 Youngjai Kiem , Dahl Park

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev