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The energy in the ghost-free massive gravity theory is calculated via explicitly resolving the initial value constraints for spherically symmetric deformations of flat space. It turns out that the energy is positive in some cases, but in…

高能物理 - 理论 · 物理学 2014-09-25 Mikhail S. Volkov

In this article we will construct the most general torsion-free parity-invariant covariant theory of gravity that is free from ghost-like and tachyonic nstabilities around constant curvature space-times in four dimensions. Specifically,…

高能物理 - 理论 · 物理学 2016-02-29 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

We study the first cosmological implications of the mimetic theory of massive gravity recently proposed by Chamseddine and Mukhanov. This is a novel theory of ghost-free massive gravity which additionally contains a mimetic dark matter…

宇宙学与河外天体物理 · 物理学 2019-06-03 Adam R. Solomon , Valeri Vardanyan , Yashar Akrami

We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading gravity and…

高能物理 - 理论 · 物理学 2014-08-27 Claudia de Rham

We present a theory of ghost-free massive gravity where the mass of the graviton is generated through the Brout-Englert-Higgs (BEH) mechanism and one of the four scalar fields used is that of mimetic gravity. The mass term is not of the…

高能物理 - 理论 · 物理学 2018-06-26 Ali H. Chamseddine , Viatcheslav Mukhanov

The stability of de Sitter spacetime in Horava-Lifshitz theory of gravity with projectability but without detailed balance condition is studied. It is found that, in contrast to the case of the Minkowski background, the spin-0 graviton now…

高能物理 - 理论 · 物理学 2015-05-18 Yongqing Huang , Anzhong Wang , Qiang Wu

In this work we investigate the inflationary phenomenological implications of a recently developed ghost-free Gauss-Bonnet theory of gravity. The resulting theory can be viewed as a scalar Einstein-Gauss-Bonnet theory of gravity, so by…

广义相对论与量子宇宙学 · 物理学 2022-10-12 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou , N. Chatzarakis , Tanmoy Paul

Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a…

高能物理 - 理论 · 物理学 2015-05-30 S. F. Hassan , Rachel A. Rosen , Angnis Schmidt-May

To describe a massive graviton in 4D Minkowski space-time one introduces a quadratic term in the Lagrangian. This term, however, can lead to a readjustment or instability of the background instead of describing a massive graviton on flat…

高能物理 - 理论 · 物理学 2011-07-19 Gregory Gabadadze , Andrei Gruzinov

The effective field theory of massive gravity had long been formulated in a generally covariant way arXiv:hep-th/0210184. Using this formalism, it has been found recently that there exists a class of massive nonlinear theories that are free…

高能物理 - 理论 · 物理学 2011-03-22 Lasha Berezhiani , Mehrdad Mirbabayi

Both particle physics and the 1890s Seeliger-Neumann modification of Newtonian gravity suggest considering a "mass term" for gravity, yielding a finite range due to an exponentially decaying Yukawa potential. Unlike Nordstr\"{o}m's…

广义相对论与量子宇宙学 · 物理学 2011-02-23 J. Brian Pitts

Many theories of modified gravity with higher order derivatives are usually ignored because of serious problems that appear due to an additional ghost degree of freedom. Most dangerously, it causes an immediate decay of the vacuum. However,…

广义相对论与量子宇宙学 · 物理学 2016-11-30 Frank Könnig , Henrik Nersisyan , Yashar Akrami , Luca Amendola , Miguel Zumalacárregui

We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are $2N$ bosonic fields living on the future…

高能物理 - 理论 · 物理学 2017-11-29 Dionysios Anninos , Frederik Denef , Ruben Monten , Zimo Sun

In this paper we discuss massive gravity in de Sitter space via gravitational Higgs mechanism, which provides a nonlinear definition thereof. The Higgs scalars are described by a nonlinear sigma model, which includes higher derivative terms…

高能物理 - 理论 · 物理学 2010-12-24 Alberto Iglesias , Zurab Kakushadze

Massive gravity in three dimensions accepts several different formulations. Recently, the 3-dimensional bigravity dRGT model in first order form, Zwei-Dreibein gravity, was considered by Bergshoeff {\it et al.} and it was argued that the…

高能物理 - 理论 · 物理学 2013-12-16 Máximo Bañados , Cedric Deffayet , Miguel Pino

A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a…

高能物理 - 理论 · 物理学 2021-07-20 Naohiro Kanda , Satoshi Okano

We revisit the problem of the helicity-0 ghost mode of massive graviton in the de Sitter background. In general, the presence of a ghost particle, which has negative energy, drives the vacuum to be unstable through pair production of ghost…

高能物理 - 理论 · 物理学 2011-04-28 Keisuke Izumi , Takahiro Tanaka

We revisit the problem of gravity coupled to a background metric $\eta_{\mu\nu}$, looking for ghost free interactions. It is known that elimination of the Boulware-Desewr ghost is equivalent to a certain Hessian condition on the interacting…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Máximo Bañados

The mass of the graviton can be generated using a Brout-Englert-Higgs mechanism with four scalar fields. We show that when one of these fields is costrained as in mimetic gravity, the massive gravity obtained is ghost free and consistent.…

高能物理 - 理论 · 物理学 2018-06-13 Ali H. Chamseddine , Viatcheslav Mukhanov

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

高能物理 - 理论 · 物理学 2007-05-23 V. Rubakov