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This paper reviews and extends the recently discovered connections between marginal and irrelevant stress-energy tensor deformations and gravity theories in arbitrary space-time dimensions. We start by discussing how $T\bar{T}$ and…

High Energy Physics - Theory · Physics 2024-08-13 Nicolò Brizio , Tommaso Morone , Roberto Tateo

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo J. Olmo

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

Astrophysics · Physics 2009-02-20 Simon DeDeo , Dimitrios Psaltis

Recent work has shown that non-local modifications of gravity involving terms such as $m^2R\Box^{-2}R$ (and no cosmological constant) provide a phenomenologically viable alternative to $\Lambda$CDM. We first discuss the possibility that…

High Energy Physics - Theory · Physics 2015-09-25 Michele Maggiore

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to…

High Energy Physics - Theory · Physics 2022-02-02 M. B. Fröb , C. Rein , R. Verch

We discuss a Modified Field Theory (MOFT) in which the number of fields can vary. It is shown that when the number of fields is conserved MOFT reduces to the standard field theory but interaction constants undergo an additional…

Astrophysics · Physics 2009-11-07 A. A. Kirillov , D. Turaev

We consider the Newtonian limit of modified theories of gravity that include inverse powers of the curvature in the action in order to explain the cosmic acceleration. It has been shown that the simplest models of this kind are in conflict…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

This paper is concerned with theories of gravity that contain a scalar coupled both conformally and disformally to matter through the metric. By systematically deriving the non-relativistic limit, it is shown that no new non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-10 Jeremy Sakstein

We analyze the theories of gravity modified by a generic nonderivative potential built from the metric, under the minimal requirement of unbroken spatial rotations. Using the canonical analysis, we classify the potentials $V$ according to…

High Energy Physics - Theory · Physics 2015-06-22 Denis Comelli , Fabrizio Nesti , Luigi Pilo

The most simple superrenormalizable model of quantum gravity is based on the general local covariant six-derivative action. In addition to graviton such a theory has massive scalar and tensor modes. It was shown recently that in the case…

General Relativity and Quantum Cosmology · Physics 2017-11-10 Antonio Accioly , Breno L. Giacchini , Ilya L. Shapiro

We highlight a non-canonical yet natural choice of variables for an efficient derivation of a kinetic equation for the energy density in non-isotropic systems, including internal gravity waves on a vertical plane, inertial and Rossby waves.…

Fluid Dynamics · Physics 2025-10-14 Michal Shavit , Oliver Bühler , Jalal Shatah

The paper discusses some scalar invariants in the gravitational field and electromagnetic field by means of the characteristics of the quaternions. When we emphasize some definitions of quaternion physical quantities, the speed of light,…

General Physics · Physics 2010-07-16 Zihua Weng

We construct a class of 4D `yoga' (naturally relaxed) models for which the gravitational response of heavy-particle vacuum energies is strongly suppressed. The models contain three ingredients: (i) a relaxation mechanism, (ii) a very…

High Energy Physics - Theory · Physics 2022-04-06 C. P. Burgess , Danielle Dineen , F. Quevedo

Unparticles charged under a gauge group can contribute to the running of the gauge coupling. We show that a scalar unparticle of scaling dimension d contributes to the \beta function a term that is (2-d) times that from a scalar particle in…

High Energy Physics - Phenomenology · Physics 2008-11-07 Yi Liao

The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , An. Stabile , S. Capozziello

If the scale invariance exists in nature, the so-called unparticle physics may become part of reality. The only way to refute or confirm this idea is through the experiments one of which is the Large Hadron Collider (LHC). One of the…

High Energy Physics - Phenomenology · Physics 2017-05-17 T. M. Aliev , Selcuk Bilmis , Melih Solmaz , Ismail Turan

A form of infinite derivative gravity is free from ghost-like instabilities with improved small scale behavior. In this theory, we calculate the tree-level scattering amplitude and the corresponding weak field potential energy between two…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Ercan Kilicarslan

We investigate the modified gravity in which the Lagrangian of gravity is a function of the trace of the n-th matrix power of Ricci tensor in a Friedmann-Lemaitre-Robertson-Walker(FLRW) spacetime. When n is negative, the inverse of Ricci…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Yicen Mou

In relativistic quantum mechanics, elementary particles are described by irreducible unitary representations of the Poincare group. The same applies to the center-of-mass kinematics of a multi-particle system that is not subject to external…

General Physics · Physics 2013-03-22 Walter Smilga

We present a semiclassical proof of the weak gravity conjecture in $D = 4$ spacetime dimensions for scalar matter gauged under a $U(1)^N$ gauge group. We compute the non-perturbative macroscopic entropy of a scalar field in an extremal…

High Energy Physics - Theory · Physics 2017-10-18 Zachary Fisher , Christopher J. Mogni
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