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We comment on the fact that certain mathematical models that have been proposed in the quantum gravity literature, may not be subject to experimental checks, even if they turn out to be mathematically well defined. This means that they…

High Energy Physics - Theory · Physics 2024-11-12 T. Banks

In gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the dual CFT. We identify infinite families of theories…

High Energy Physics - Theory · Physics 2016-04-20 Steffen Aksteiner , Yegor Korovin

A generalization of Newtonian gravitation theory is obtained by a suitable limiting procedure from the ADM action of general relativity coupled to a mass-point. Three particular theories are discussed and it is found that two of them are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 R. De Pietri , L. Lusanna , M. Pauri

We present a theory of modified gravity, inspired by the gauge theories, where the commutator algebra of covariant derivative gives us an added term with respect to the General Relativity, which represents the interaction of gravity with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 M. Hamani Daouda , Manuel E. Rodrigues , M. J. S. Houndjo

Recent results in the construction of anomaly-free models of loop quantum gravity have shown obstacles when local physical degrees of freedom are present. Here, a set of no-go properties is derived in polarized Gowdy models, raising the…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Martin Bojowald , Suddhasattwa Brahma

This paper is a collection of lecture notes on modified gravity. Various modified gravity models formulated within the Riemannian formalism are discussed.

General Relativity and Quantum Cosmology · Physics 2020-08-03 A. Yu. Petrov

We investigate 4-dim gauge theories and gravitational theories with nonpolynomial actions containing an infinite series in covariant derivatives of the fields representing the expansion of a transcendental entire function. A class of entire…

High Energy Physics - Theory · Physics 2007-05-23 E. T. Tomboulis

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

The recently proposed theory of "Asymptotically Free Mimetic Gravity" is extended to the general non-homogeneous, spatially non-flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this…

High Energy Physics - Theory · Physics 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

We study metric transformations which depend on a scalar field $\phi$ and its first derivatives and confirm that the number of physical degrees of freedom does not change under such transformations, as long as they are not singular. We…

High Energy Physics - Theory · Physics 2015-11-18 Guillem Domènech , Shinji Mukohyama , Ryo Namba , Atsushi Naruko , Rio Saitou , Yota Watanabe

The different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant…

General Relativity and Quantum Cosmology · Physics 2011-07-18 K. R. Green , N. Kiriushcheva , S. V. Kuzmin

The configuration space of general relativity is superspace - the space of all Riemannian 3-metrics modulo diffeomorphisms. However, it has been argued that the configuration space for gravity should be conformal superspace - the space of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bryan Kelleher

We introduce a new approach to modified gravity which generalizes the recently proposed hybrid metric-Palatini gravity. The gravitational action is taken to depend on a general function of both the metric and Palatini curvature scalars. The…

General Relativity and Quantum Cosmology · Physics 2015-10-09 Nicola Tamanini , Christian G. Boehmer

We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 A. Baldazzi , O. Melichev , R. Percacci

A new geometric interpretation for General Relativity (GR) is proposed. We show that in the presence of an arbitrary affine connection, the gravitational field is described as nonmetricity of the affine connection. An affine connection can…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant theories of gravity have been based on Weyl's…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Edward Anderson , Julian Barbour , Brendan Foster , Niall O'Murchadha

We propose a new theory of gravitation on noncommutative space-time which is invariant under the general coordinate transformations, while the local Lorentz invariance is realized as twisted gauge symmetry. Our theory is remarkably simpler…

High Energy Physics - Theory · Physics 2010-09-29 Archil Kobakhidze

Gravitational instability in classical Jeans theory, General Relativity, and modified gravity is considered. The background density increase leads to a faster growth of perturbations in comparison with the standard theory. The transition to…

General Relativity and Quantum Cosmology · Physics 2015-06-22 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

It's widely recognized that general relativity emerges if we impose invariance under local translations and local Lorentz transformations. In the same manner supergravity arises when we impose invariance under local supersymmetry. In this…

General Relativity and Quantum Cosmology · Physics 2012-10-16 Marin Diego

A subclass of the Horndeski modified gravity theory we call No Slip Gravity has particularly interesting properties: 1) a speed of gravitational wave propagation equal to the speed of light, 2) equality between the effective gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 Eric V. Linder
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