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We study scalar-tensor theories respecting the projective invariance in the metric-affine formalism. The metric-affine formalism is a formulation of gravitational theories such that the metric and the connection are independent variables in…

General Relativity and Quantum Cosmology · Physics 2018-09-24 Katsuki Aoki , Keigo Shimada

We use a modified Einstein-Maxwell gravity to study stability of an electrostatic spherical star. Correction terms in this model are scalers which are made from contraction of Ricci tensor and electromagnetic vector potential. Our…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Hossein Ghaffarnejad , Tohid Ghorbani , Firoozeh Eidizadeh

Here we discuss a topic that comes up more often than expected: A same theory or theoretical model arises in two different presentations which are assumed to be actually different theories so that these are independently developed.…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Israel Quiros , Francisco Antonio Horta-Rangel

We construct models with the Gauss-Bonnet term multiplied to a function of the scalar field leading to inflationary scenario. The consideration is related with the slow-roll approximation. The cosmological attractor approach gives the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 E. O. Pozdeeva

An alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes' thrust. In it, the gravitational field affects the physical standards of space and time,…

General Physics · Physics 2016-12-26 Mayeul Arminjon

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Martin Krššák

The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our…

High Energy Physics - Theory · Physics 2020-02-21 Salih Kibaroğlu , Oktay Cebecioğlu

Utilizing the autonomous system of ordinary differential equations derived in arXiv:1809.01458 to define the evolution, we further investigate a class of cosmological models within an Einstein-aether gravitational framework by introducing a…

General Relativity and Quantum Cosmology · Physics 2024-02-28 S. Mohandas , R. J. van den Hoogen , D. Winters , M. Dala

Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class…

General Relativity and Quantum Cosmology · Physics 2019-04-02 S. L. Cherkas , V. L. Kalashnikov

The Lorentz-Poincar\'e interpretation of special relativity (SR) keeps the classical concepts of separated space and time, at the price of postulating an indetectable preferred inertial frame or ``ether". But SR does not contain gravity.…

General Physics · Physics 2025-04-15 Mayeul Arminjon

We have recently proposed an "Ultra-Strong" version of the Equivalence Principle (EP) that is not satisfied by standard semiclassical gravity. In the theory that we are conjecturing, the vacuum expectation value of the (bare) energy…

High Energy Physics - Theory · Physics 2009-12-07 Federico Piazza

We determine exact and analytic solutions of the gravitational field equations in Einstein-aether scalar model field with a Bianchi I background space. In particular, we consider nonlinear interactions of the scalar field with the aether…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Andronikos Paliathanasis , Genly Leon

In this paper, we reconstruct various solutions for the accelerated universe in the Einstein-Aether theory of gravity. For this purpose, we obtain the effective density and pressure for Einstein-Aether theory. We reconstruct the…

General Physics · Physics 2019-07-23 Shamaila Rani , Abdul Jawad , Kazuharu Bamba , Irfan Ullah Malik

A formulation of Einstein gravity, analogous to that for gauge theory arising from the Chalmers-Siegel action, leads to a perturbation theory about an asymmetric weak coupling limit that treats positive and negative helicities differently.…

High Energy Physics - Theory · Physics 2009-11-11 M. Abou-Zeid , C. M. Hull

The Hamiltonian formulation of Horava gravity is derived. In a closed universe the Hamiltonian is a sum of generators of gauge symmetries, the foliation-preserving diffeomorphisms, and vanishes on shell. The scalar constraint is second…

High Energy Physics - Theory · Physics 2012-01-17 William Donnelly , Ted Jacobson

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It…

General Relativity and Quantum Cosmology · Physics 2008-05-20 Leonid Verozub

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

A framework is proposed that allows to write down field theories with a new energy scale while explicitly preserving Lorentz invariance and without spoiling the features of standard quantum field theory which allow quick calculations of…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

Along the lines of the Einstein-Rosen wave equation of General Relativity (GR), we derive a gravitational wave equation with cylindrical symmetry in the Einstein-aether (EA) theory. We show that the gravitational wave in the EA is periodic…

General Relativity and Quantum Cosmology · Physics 2025-11-19 R. Chan , M. F. A. da Silva , V. H. Satheeshkumar

$f(R)$-Gravity, a simple generalization of Einstein's General theory of Relativity has been considered in the context of Cosmology as one of the approaches to explain phenomena such as early-time inflation and late-time accelerated…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Gahan Chattopadhyay , Soumitra Sengupta
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