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We discuss recent results on the cosmology of extended theories of gravity formulated in the Palatini approach, i.e., assuming that metric and connection are independent fields. In particular, we focus on the attempts to explain the cosmic…

General Relativity and Quantum Cosmology · Physics 2012-07-23 Gonzalo J. Olmo

We suggest that galileon theories should have an additional self-coupling of the fields to the trace of their own energy-momentum tensor. We explore the classical features of one such model, in flat 4D spacetime, with emphasis on solutions…

High Energy Physics - Theory · Physics 2015-06-05 Thomas L. Curtright , David B. Fairlie

It has been suggested that the recent acceleration of the expansion of the Universe is due a modified gravitational action consisting of the Einstein-Hilbert term plus a term proportional to the reciprocal of the Ricci scalar. Although the…

Astrophysics · Physics 2008-11-26 Eanna E. Flanagan

Modified gravity can be considered as an alternative to dark energy. In a generalized theory of gravity, the universe may accelerate while containing only baryonic and dark matter. We study, in particular, the evolution of matter…

Astrophysics · Physics 2008-11-26 Tomi Koivisto

In a previous paper we showed that static spherically symmetric objects which, in the vicinity of their surface, are well-described by a polytropic equation of state with 3/2<Gamma<2 exhibit a curvature singularity in Palatini f(R) gravity.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Barausse , T. P. Sotiriou , J. C. Miller

Recently, corrections to the standard Einstein-Hilbert action are proposed to explain the current cosmic acceleration in stead of introducing dark energy. We discuss the Palatini formulation of the modified gravity with a $\ln R$ term…

High Energy Physics - Theory · Physics 2009-11-10 Xin-He Meng , Peng Wang

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

A quantitative test for the validity of the semi-classical approximation in gravity is given. The criterion proposed is that solutions to the semi-classical Einstein equations should be stable to linearized perturbations, in the sense that…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

We consider a natural form of unified theory of gravity and electromagnetism which was somehow missed at the time of intense search for such an unification, and was noticed only in 1978 but remained quite unknown. The basic idea of this…

General Relativity and Quantum Cosmology · Physics 2018-12-27 N. V. Kharuk , S. A. Paston , A. A. Sheykin

The evidence of the acceleration of universe at present time has lead to investigate modified theories of gravity and alternative theories of gravity, which are able to explain acceleration from a theoretical viewpoint without the need of…

High Energy Physics - Theory · Physics 2011-05-05 Gianluca Allemandi , Andrzej Borowiec , Mauro Francaviglia

A generalization of General Relativity is studied. The standard Einstein-Hilbert action is considered in the Palatini formalism, where the connection and the metric are independent variables, and the connection is not symmetric. As a result…

General Relativity and Quantum Cosmology · Physics 2018-03-21 N. V. Kharuk , S. A. Paston , A. A. Sheykin

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries…

High Energy Physics - Theory · Physics 2013-12-17 Melinda Andrews , Kurt Hinterbichler , James Stokes , Mark Trodden

Slow-roll inflation is analyzed in the context of modified gravity within the Palatini formalism. As shown in the literature, inflation in this framework requires the presence of non-traceless matter, otherwise it does not occur just as a…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Sabit Bekov , Kairat Myrzakulov , Ratbay Myrzakulov , Diego Sáez-Chillón Gómez

We derive the graviton propagator on the brane for theories with quasi-localized gravity. In these models the ordinary 4D graviton is replaced by a resonance in the spectrum of massive Kaluza-Klein modes, which can decay into the extra…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Joshua Erlich , Timothy J. Hollowood

We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Katsuki Aoki , Kei-ichi Maeda , Yosuke Misonoh , Hirotada Okawa

Modified gravity, known as $f(R)$ gravity, has presently been applied to Cosmology as a realistic alternative to dark energy. For this kind of gravity the expansion of the Universe may accelerate while containing only baryonic and cold dark…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-01 N. Pires , J. Santos , J. S. Alcaniz

It has been a long entertained idea that self-bound gravitons, so-called geons, could be a dark matter candidate or form (primordial) black holes. The development of viable candidates for quantum gravity allows now to investigate these…

High Energy Physics - Lattice · Physics 2025-10-27 Axel Maas , Simon Plätzer , Felix Pressler

In this paper we generalize the off-shell Abbott-Deser-Tekin (ADT) conserved charge formalism to Palatini theory of gravity with torsion and non-metricity. Our construction is based on the coordinate formalism and the independent dynamic…

High Energy Physics - Theory · Physics 2021-02-12 Hai-Feng Ding , Xiang-Hua Zhai

Several proposals to deal with the dynamics of general relativity involve gauge fixings or the introduction matter fields in terms of which the theory is deparameterized. The resulting theories have true Hamiltonians for their evolution…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Rodolfo Gambini , Jorge Pullin

We show that gravitational solitons naturally carry gauge charges beyond those of any local quantum field. The effect of these charged excitations is to break a non-invertible symmetry to its maximal group-like sub-symmetry. Taking these…

High Energy Physics - Theory · Physics 2021-08-06 Jacob McNamara