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A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical…

General Relativity and Quantum Cosmology · Physics 2009-11-04 S. N. Pandey , B. K. Sinha

Dipole fields are common in electromagnetism and may be viewed as the result of a positive and negative charge (or pole) which are close together. A dipole field in gravity is not expected to exist because negative mass has never been…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Richard T Hammond

We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the…

High Energy Physics - Theory · Physics 2009-01-16 Eric A. Bergshoeff , Mees de Roo , Sven F. Kerstan , Axel Kleinschmidt , Fabio Riccioni

We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. We observe that the resultant linearized equations are exactly the same as that of TMG…

High Energy Physics - Theory · Physics 2014-12-09 Mohsen Alishahiha , Mohammad M. Qaemmaqami , Ali Naseh , Ahmad Shirzad

We study linearizability of actions of finite groups on cubic threefolds with non-isolated singularities.

Algebraic Geometry · Mathematics 2025-05-08 Ivan Cheltsov , Lisa Marquand , Yuri Tschinkel , Zhijia Zhang

A nonlinear scalar field theory from which an effective metric can be deduced is considered. This metric is shown to be compatible with requirements of general relativity. It is demonstrated that there is a class of solutions which fulfill…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Okninski

Based on certain assumptions for the expectation value of a product of the quantum fluctuating metric at two points, the gravitational and scalar field Lagrangians are evaluated. Assuming a vanishing expectation value of the first order…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

We introduce the method of topological quantization for gravitational fields in a systematic manner. First we show that any vacuum solution of Einstein's equations can be represented in a principal fiber bundle with a connection that takes…

Mathematical Physics · Physics 2009-11-10 Leonardo Patino , Hernando Quevedo

A natural two-metric formalism, generated by the world function of the space-time, is used. This circumstance admits one to localize the relative gravitational field, which is described by a tensor.

General Physics · Physics 2011-08-01 Yuri A. Rylov

Gravitational effects may interfere with the axion solution to the strong-CP problem. We point out that gravity can potentially provide a protection mechanism against itself, in the form of an additional axion-like field associated with…

High Energy Physics - Theory · Physics 2018-06-12 Georgios K. Karananas

The fourth derivative models for two dimensional gravity are shown to be equivalent to the special version of the nonlinear sigma models coupled to 2d quantum gravity. The reduction consists in the introduction of the auxiliary scalar…

High Energy Physics - Theory · Physics 2016-09-06 I. L. Shapiro

We propose an alternative representation for linear quantum gravity. It is based on the use of a structure that bears some resemblance to the Abelian loop representation used in electromagnetism but with the difference that space of…

High Energy Physics - Theory · Physics 2019-04-05 Ernesto Contreras , Cayetano Di Bartolo , Lorenzo Leal

The metric ansatz is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which…

High Energy Physics - Theory · Physics 2009-11-11 Valeri P. Frolov , Werner Israel , Andrei Zelnikov

This work deals with models described by three real scalar fields in one spatial dimension. We study the case where two of the three fields engender kinematical modifications, which respond as geometrical constrictions, that can be used to…

High Energy Physics - Theory · Physics 2024-04-10 D. Bazeia , G. S. Santiago

We construct a supersymmetric formulation of linearized New Massive Gravity without introducing higher derivatives. Instead, we introduce supersymmetrically a set of bosonic and fermionic auxiliary fields which, upon elimination by their…

High Energy Physics - Theory · Physics 2013-09-10 Eric A. Bergshoeff , Marija Kovacevic , Lorena Parra , Jan Rosseel , Yihao Yin , Thomas Zojer

Nontrivial isometric embeddings for flat metrics (i.e., those which are not just planes in the ambient space) can serve as useful tools in the description of gravity in the embedding gravity approach. Such embeddings can additionally be…

General Relativity and Quantum Cosmology · Physics 2021-12-21 S. A. Paston , T. I. Zaitseva

A multigrid framework is described for multiphysics applications. The framework allows one to construct, adapt, and tailor a monolithic multigrid methodology to different linear systems coming from discretized partial differential…

Numerical Analysis · Mathematics 2021-03-24 Peter Ohm , Tobias Wiesner , Eric C. Cyr , Jonathan J. Hu , John N. Shadid , Raymond S. Tuminaro

..."but we do not have quantum gravity." This phrase is often used when analysis of a physical problem enters the regime in which quantum gravity effects should be taken into account. In fact, there are several models of the gravitational…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Marcin Domagala , Kristina Giesel , Wojciech Kaminski , Jerzy Lewandowski

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case.…

High Energy Physics - Theory · Physics 2009-11-10 H. Casini , R. Montemayor , Luis F. Urrutia

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Tekin Dereli , Özcan Sert