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In this work we explore the consequences that a non-minimal coupling between geometry and matter can have on the dynamics of perfect fluids. It is argued that the presence of a static, axially symmetric pressureless fluid does not imply a…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Orfeu Bertolami , António Martins

This chapter gives an introduction to the connection between the physics of water waves and analogue gravity. Only a basic knowledge of fluid mechanics is assumed as a prerequisite.

Fluid Dynamics · Physics 2015-06-04 Germain Rousseaux

We revisit the relativistic coupling between gravity and electromagnetism, putting particularly into question the status of the latter; whether it behaves as a source or as a form of gravity on large scales. Considering a metric-affine…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Panagiotis Mavrogiannis

In metric-affine gravity, both the gravitational and matter actions depend not just on the metric, but also on the independent affine connection. Thus matter can be modeled as a hyperfluid, characterized by both the energy-momentum and…

General Relativity and Quantum Cosmology · Physics 2025-03-25 Ilaria Andrei , Damianos Iosifidis , Laur Järv , Margus Saal

It has been speculated that gravity could be an emergent phenomenon, with classical general relativity as an effective, macroscopic theory, valid only for classical systems at large temporal and spatial scales. As in classical continuum…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Huan Yang , Larry R. Price , Nicolas D. Smith , Rana X Adhikari , Haixing Miao , Yanbei Chen

Already in the 1970s there where attempts to present a set of ground rules, sometimes referred to as a theory of gravitation theories, which theories of gravity should satisfy in order to be considered viable in principle and, therefore,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P Sotiriou , Valerio Faraoni , Stefano Liberati

Classical gravity can be described as a relational dynamical system without ever appealing to spacetime or its geometry. This description is the so-called shape dynamics description of gravity. The existence of relational first principles…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Tim Koslowski

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion, nonmetricity and the…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Alejandro Jiménez-Cano , Yuri N. Obukhov

The gravity water waves equations describe the evolution of the surface of an incompressible, irrotational fluid in the presence of gravity. The classical regularity threshold for the well-posedness of this system requires initial velocity…

Analysis of PDEs · Mathematics 2018-11-27 Albert Ai

In this paper we investigate the classical non-relativistic limit of the Eddington-inspired Born-Infeld theory of gravity. We show that strong bounds on the value of the only additional parameter of the theory \kappa, with respect to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 P. P. Avelino

Studying the spectrum of (pure) $R^2$ gravity on Minkowski background inevitably results into a Catch-22: any consistent interpretation of its particle dynamics dictates that no accidental gauge symmetries emerge, a requirement that cannot…

High Energy Physics - Theory · Physics 2024-07-16 Georgios K. Karananas

We explore nonlinear perturbations in different static fluid systems. We find that the equations, corresponding to the perturbation of the integrals of motion, i.e; Bernoulli's constant and the mass flow rate, satisfy massless scalar field…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Satadal Datta

We consider one-dimensional model of the interaction between surface and the internal gravity water waves. The internal wave is modeled by its basic form: a non-dispersive field with a horizontal current that is uniform over all depth,…

Atmospheric and Oceanic Physics · Physics 2010-10-12 K. Lossow , N. Lossow

We present a dark fluid model which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equation was investigated with the Sedov-type…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Imre F. Barna , Mihály A. Pocsai , Gergely Gábor Barnaföldi

The Cauchy problem for metric-affine f(R)-gravity `a la Palatini and with torsion, in presence of perfect fluid matter acting as source, is discussed following the well-known Bruhat prescriptions for General Relativity. The problem results…

General Relativity and Quantum Cosmology · Physics 2009-08-24 S. Capozziello , S. Vignolo

We consider a search for phenomenological signatures from an hypothetical space-time granularity that respects Lorentz invariance. The model is based on the idea that the metric description of Einstein's gravity corresponds to a…

General Relativity and Quantum Cosmology · Physics 2013-03-11 Pedro Aguilar , Yuri Bonder , Daniel Sudarsky

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting…

Fluid Dynamics · Physics 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nathalie Deruelle , Misao Sasaki

The Standard Model of particle physics describes electromagnetic, weak, and strong interactions, which are three of the four known fundamental forces of nature. The unification of the fourth interaction, gravity, with the Standard Model has…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Mikko Partanen , Jukka Tulkki

The statistical mechanics of self-gravitating systems has not been well understood, and still remains an open question so far. In a previous study by Kang & He, we showed that the fluid approximation may give a clue to further investigate…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-23 Dong-Biao Kang , Ping He
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