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We present a survey of the known cosmological and black hole solutions in ghost-free bigravity and massive gravity theories. These can be divided into three classes. First, there are solutions with proportional metrics, which are the same…

High Energy Physics - Theory · Physics 2015-06-15 Mikhail S. Volkov

Shape Dynamics is a metric theory of pure gravity, equivalent to General Relativity, but formulated as a gauge theory of spatial diffeomporphisms and local spatial conformal transformations. In this paper we extend the construction of Shape…

General Relativity and Quantum Cosmology · Physics 2012-05-24 Henrique Gomes , Tim Koslowski

Spacetime geometry is described by two -- {\em a priori} independent -- geometric structures: the symmetric connection $\Gamma$ and the metric tensor $g$. Metricity condition of $\Gamma$ (i.e. $\nabla g = 0$) is implied by the Palatini…

General Relativity and Quantum Cosmology · Physics 2024-03-15 B. Bąk , J. Kijowski

We show that, in four-dimensional spacetimes with an arbitrary Einstein metric, with and without a cosmological constant, perturbative dynamical degrees of freedom in generic quadratic-curvature gravity can be decoupled into massless and…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Yuki Niiyama , Yuya Nakamura , Ryosuke Zaimokuya , Yu Furuya , Yuuiti Sendouda

We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the…

High Energy Physics - Theory · Physics 2009-01-16 Eric A. Bergshoeff , Mees de Roo , Sven F. Kerstan , Axel Kleinschmidt , Fabio Riccioni

We study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

We discuss the ghost freeness in the case when we add matter coupled to two metrics to the ghost-free bigravity. In this paper we show that the Boulware-Deser ghost generally revives in the presence of doubly coupled matter and that ghost…

High Energy Physics - Theory · Physics 2015-06-22 Yasuho Yamashita , Antonio De Felice , Takahiro Tanaka

The gauge kinetic mixing in general is allowed in models with multiple Abelian gauge groups. In this paper, we investigate the gauge kinetic mixing in the framework of $U(1)$ extensions of the MSSM. It enlarges the viable parameter space,…

High Energy Physics - Phenomenology · Physics 2017-06-21 Geneviève Bélanger , Jonathan Da Silva , Hieu Minh Tran

We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that…

High Energy Physics - Theory · Physics 2018-09-26 S. F. Hassan , Anders Lundkvist

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

We consider the full effective theory for quantum gravity at second order in curvature including non-local terms. We show that the theory contains two new degrees of freedom beyond the massless graviton: namely a massive spin-2 ghost and a…

High Energy Physics - Theory · Physics 2017-10-11 Xavier Calmet , Salvatore Capozziello , Daniel Pryer

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

In a geometrical approach to gravity the metric and the (gravitational) connection can be independent and one deals with metric-affine theories. We construct the most general action of metric-affine effective field theories, including a…

High Energy Physics - Theory · Physics 2022-12-16 Gianfranco Pradisi , Alberto Salvio

Starting from a self-dual formulation of gravity, we obtain a noncommutative theory of pure Einstein theory in four dimensions. In order to do that, we use Seiberg-Witten map. It is shown that the noncommutative torsion constraint is solved…

High Energy Physics - Theory · Physics 2009-11-10 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

We study massless solutions to the Einstein equations coupled to different matter models with a magnetic field and a conformal gauge singularity assuming spatial homogeneity with three commuting spatial translations. We show that there are…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Ho Lee , Ernesto Nungesser , John Stalker , Paul Tod

We consider a model of modified gravity based on the spectral action functional, for a cosmic topology given by a spherical space form, and the associated slow-roll inflation scenario. We consider then the coupling of gravity to matter…

Mathematical Physics · Physics 2014-08-20 Branimir Cacic , Matilde Marcolli , Kevin Teh

We analyze some unphysical features of the geodesic approach to matter coupling in a compactified Kaluza-Klein scenario, like the q/m puzzle and the huge massive modes. We propose a new approach, based on Papapetrou multipole expansion,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valentino Lacquaniti , Giovanni Montani

Using the metric formalism, we study the derivative mixings of spin-2 fields in massive bi-Gravity. Necessary (but not sufficient) criteria are given for such mixings to be ghost free. Examples satisfying those criteria are studied and it…

High Energy Physics - Theory · Physics 2017-04-28 Giorgi Tukhashvili

Recently, Valiviita et al. (2008) have reported a large-scale early-time instability in coupled dark energy and dark matter models. We take the same form of energy-momentum exchange and specialise to the case when the interaction rate is…

Cosmology and Nongalactic Astrophysics · Physics 2009-03-30 Brendan M Jackson , Andy Taylor , Arjun Berera

We discuss ghost free models of the recently suggested mimetic dark matter theory. This theory is shown to be a conformal extension of Einstein general relativity. Dark matter originates from gauging out its local Weyl invariance as an…

High Energy Physics - Theory · Physics 2015-06-17 A. O. Barvinsky