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General Relativity is usually formulated as a theory with gauge invariance under the diffeomorphism group, but there is a 'dilaton' formulation where it is in addition invariant under Weyl transformations, and a 'unimodular' formulation…

General Relativity and Quantum Cosmology · Physics 2018-09-11 Steffen Gielen , Rodrigo de Leon Ardon , Roberto Percacci

The Newtonian limit of the most general fourth order gravity is performed with metric approach in the Jordan frame with no gauge condition. The most general theory with fourth order differential equations is obtained by generalizing the…

General Relativity and Quantum Cosmology · Physics 2010-12-28 A. Stabile

Interest has focussed recently on low energy implications of a nontrivial scale invariant sector of an effective field theory with an IR fixed point, manifest in terms of ``unparticles'' with peculiar properties. If unparticle stuff exists…

High Energy Physics - Phenomenology · Physics 2008-12-30 Haim Goldberg , Pran Nath

We investigate a model of two-dimensional gravity with arbitrary scalar potential obtained by gauging a deformation of de Sitter or more general algebras, which accounts for the existence of an invariant energy scale. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

A general scalar-tensor theory can be formulated in different parametrizations that are related by a conformal rescaling of the metric and a scalar field redefinition. We compare formulations of slow-roll regimes in the Einstein and Jordan…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Piret Kuusk , Mihkel Rünkla , Margus Saal , Ott Vilson

We define a theory of gravity by constructing a gravitational holonomy operator in twistor space. The theory is a gauge theory whose Chan-Paton factor is given by a trace over elements of Poincar\'{e} algebra and Iwahori-Hecke algebra. This…

High Energy Physics - Theory · Physics 2010-05-27 Yasuhiro Abe

We study the evolution of linear perturbations in metric f(R) models of gravity and identify a potentially observable characteristic scale-dependent pattern in the behavior of cosmological structures. While at the background level viable…

Astrophysics · Physics 2014-11-18 Levon Pogosian , Alessandra Silvestri

The debate on the physical relevance of conformal transformations can be faced by taking the Palatini approach into account to gravitational theories. We show that conformal transformations are not only a mathematical tool to disentangle…

High Energy Physics - Theory · Physics 2009-11-10 Gianluca Allemandi , Monica Capone , Salvatore Capozziello , Mauro Francaviglia

Demanding $O(d,d)$-duality covariance, Hohm and Zwiebach have written down the action for the most general cosmology involving the metric, $b$-field and dilaton, to all orders in $\alpha'$ in the string frame. Remarkably, for an FRW…

High Energy Physics - Theory · Physics 2019-10-25 Chethan Krishnan

This paper is devoted to the analysis of the covariant canonical formalism of $F(R)$ gravity in Einstein frame. We also find canonical transformation between covariant canonical formulation of F(R) gravity in Jordan frame and Einstein…

General Relativity and Quantum Cosmology · Physics 2023-03-22 J. Kluson , B. Matous

In this work we explore the dynamics of the generalized hybrid metric-Palatini theory of gravity in the weak-field, slow-motion regime. We start by introducing the equivalent scalar-tensor representation of the theory, which contains two…

General Relativity and Quantum Cosmology · Physics 2021-12-14 João Luís Rosa , Francisco S. N. Lobo , Gonzalo J. Olmo

We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates five degrees of freedom; this is also verified by a new and streamlined Hamiltonian…

High Energy Physics - Theory · Physics 2014-12-03 S. Deser , M. Sandora , A. Waldron , G. Zahariade

We consider a Higgs mechanism in scale-invariant theories of gravitation. It is shown that in spontaneous symmetry breakdown of scale invariance, gauge symmetries are also broken spontaneously even without the Higgs potential if the…

High Energy Physics - Phenomenology · Physics 2013-08-22 Ichiro Oda

The potential realization of a gravitational wave (GW) astronomy in next years is a great challenge for the scientific community. By giving a significant amount of new information, GWs will be a cornerstone for a better understanding of the…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Christian Corda

We give a brief summary of the formalism of invariants in general scalar-tensor and multiscalar-tensor gravities without derivative couplings. By rescaling of the metric and reparametrization of the scalar fields, the theory can be…

General Relativity and Quantum Cosmology · Physics 2016-01-01 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama

We present calculations of Post-Newtonian parameters for Brans-Dicke tensor-scalar gravity in an arbitrary number of compact extra dimensions in both the Jordan and Einstein conformal frames. We find that the parameter gamma, which measures…

General Relativity and Quantum Cosmology · Physics 2009-04-08 Matthew D. Klimek

For vacuum Maxwell theory in four dimensions, a supplementary condition exists (due to Eastwood and Singer) which is invariant under conformal rescalings of the metric, in agreement with the conformal symmetry of the Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

The ten-parameter, quadratic Poincar\'e gauge theory of gravity is a plausible alternative to general relativity. We show that the rich background cosmology of the gauge theory is described by a non-canonical bi-scalar-tensor theory in the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 W. E. V. Barker , A. N. Lasenby , M. P. Hobson , W. J. Handley