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Related papers: Ghosts in classes of non-local gravity

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Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

We construct the consistent ghost-free covariant scalar-vector-tensor gravity theories with second order equations of motion with derivative interactions. We impose locality, unitarity, Lorentz invariance and pseudo-Riemannian geometry as…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Lavinia Heisenberg

Here we consider a metric-affine theory of gravity in which the gravitational Lagrangian is the scalar curvature. The matter action is allowed to depend also on the torsion and the nonmetricity, which are considered as the field variables…

General Relativity and Quantum Cosmology · Physics 2013-07-17 F. F. Faria

This paper studies the inflationary dynamics of a Non-Local Theory of gravity. This theory, based around derivatives of the Ricci Scalar in the Einstein-Hilbert action, was previously found to be Ghost free, and to give rise to a bouncing…

General Relativity and Quantum Cosmology · Physics 2009-08-20 Philip Stephens

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

A scalar field model for explaining the anomalous acceleration and light deflection at galactic and cluster scales, without further dark matter, is presented. It is formulated in a scale covariant scalar tensor theory of gravity in the…

Astrophysics of Galaxies · Physics 2020-05-20 Erhard Scholz

In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field…

General Relativity and Quantum Cosmology · Physics 2021-11-19 S. Nojiri , S. D. Odintsov , V. K. Oikonomou , Arkady A. Popov

We show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might…

High Energy Physics - Theory · Physics 2007-05-23 Alvaro Nunez , Slava Solganik

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

This manuscript provides a characterisation of the equivalence class of classical smooth Lagrangian densities that involve terms depending on two distinct points of the underlying Euclidean base space of the theory. Theories of this type…

High Energy Physics - Theory · Physics 2020-09-29 Kevin Thieme

We present a novel way to constrain the ghost field with respect to other physical fields present in a given theory such that the theory becomes quantizable. This is achieved by imposing positivity of the total kinetic energy of the system…

High Energy Physics - Theory · Physics 2024-10-24 Sukanta Panda , Archit Vidyarthi

We show that a scalar field without a kinetic term in the Lagrangian density, coupled to the covariant divergence of the torsion vector in the Einstein$-$Cartan theory of gravity, becomes kinetic in its general-relativistic equivalent…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Nikodem J. Popławski

Some nonlocal and nonpolynomial scalar field models originated from p-adic string theory are considered. Infinite number of spacetime derivatives is governed by the Riemann zeta function through d'Alembertian $\Box$ in its argument.…

High Energy Physics - Theory · Physics 2008-05-06 Branko Dragovich

We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as a possible scenario to drive the cosmic history. In particular, we investigate the cosmological properties of a gravitational…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We show that generalized gravity theories involving the curvature invariants of the Ricci tensor and the Riemann tensor as well as the Ricci scalar are equivalent to multi- scalar-tensor gravities with four derivatives terms. By expanding…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takeshi Chiba

We investigate a class of gravity theories respecting only spatial covariance, termed spatially covariant gravity, in the presence of an auxiliary scalar field. We examine the conditions on the Lagrangian required to eliminate scalar…

General Relativity and Quantum Cosmology · Physics 2024-03-25 Zhi-Chao Wang , Xian Gao

It is shown that target space diffeomorphism invariance of a generic Lagrangian for a set of scalar fields leads to an analog of Einstein equations for the geometry of a level set of these fields.

General Relativity and Quantum Cosmology · Physics 2024-02-06 A. A. Sheykin

As an example of what happens with physically relevant theories like effective gravity, we consider the covariant relativistic theory of a scalar field of arbitrarily higher differential order. A procedure based on the Legendre…

General Relativity and Quantum Cosmology · Physics 2008-02-03 F. J. de Urries , J. Julve

It has been suggested that using a gauge fixing Lagrangian that is not quadratic in a gauge fixing condition is most appropriate for gauge theories formulated on a hypersphere. We reexamine the appropriate ghost action that is to be…

High Energy Physics - Theory · Physics 2011-10-27 F. T. Brandt , D. G. C. McKeon

Spontaneous scalarization is a mechanism that allows a scalar field to go undetected in weak gravity environments and yet develop a nontrivial configuration in strongly gravitating systems. At the perturbative level it manifests as a…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Hector O. Silva , Andrew Coates , Fethi M. Ramazanoğlu , Thomas P. Sotiriou