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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

We consider the motion of several solids in a bounded cavity filled with a perfect incompressible fluid, in two dimensions. The solids move according to Newton's law, under the influence of the fluid's pressure, and the fluid dynamics is…

Analysis of PDEs · Mathematics 2019-10-09 Olivier Glass , Franck Sueur

We show that a metastable dark matter candidate arises naturally from the conformal transformation between the Einstein metric, where gravitons are normalised states, and the Jordan metric dictating the coupling between gravity and matter.…

High Energy Physics - Phenomenology · Physics 2021-06-23 Philippe Brax , Kunio Kaneta , Yann Mambrini , Mathias Pierre

We generalize dark matter production to a two-metric framework whereby the physical metric, which couples to the Standard Model (SM), is conformally and/or disformally related to the metric governing the gravitational dynamics. We show that…

High Energy Physics - Phenomenology · Physics 2021-02-03 Philippe Brax , Kunio Kaneta , Yann Mambrini , Mathias Pierre

An hydrodynamic description of a one-dimensional flow of an ideal Fermi fluid is constructed from a semiclassical approximation. For an initially fully degenerate fluid, Euler and continuity hydrodynamic equations are dual to two uncoupled…

Other Condensed Matter · Physics 2010-10-15 Stefano Giovanazzi

We study particles creation in arbitrary space-time dimensions by external electric fields, in particular, by fields, which are acting for a finite time. The time and dimensional analysis of the vacuum instability is presented. It is shown…

High Energy Physics - Theory · Physics 2014-11-18 S. P. Gavrilov , D. M. Gitman

Coupling dark energy and dark matter through an effective fluid description is a very common procedure in cosmology, however it always remains in comoving coordinates in the special FLRW space. We construct a consistent, general, and…

General Relativity and Quantum Cosmology · Physics 2014-09-17 Valerio Faraoni , James B. Dent , Emmanuel N. Saridakis

We find the three-dimensional gravity dual of a process in which two clouds of (1+1)-dimensional conformal matter moving in opposite directions collide. This gives the most general conformally invariant holographic flow in the 1+1…

High Energy Physics - Theory · Physics 2008-12-18 K. Kajantie , Jorma Louko , T. Tahkokallio

Emergent gravity can be applied to a large $N$ matrix model by considering the vacuum of a noncommutative (NC) Coulomb branch that satisfies the Heisenberg algebra. Due to the fact that IR fluctuations in the NC Coulomb branch always pair…

High Energy Physics - Theory · Physics 2022-11-02 Jungjai Lee , Hyun Seok Yang

We discuss ghost free models of the recently suggested mimetic dark matter theory. This theory is shown to be a conformal extension of Einstein general relativity. Dark matter originates from gauging out its local Weyl invariance as an…

High Energy Physics - Theory · Physics 2015-06-17 A. O. Barvinsky

The variational theory of the perfect fluid with an intrinsic hypermomentum is developed. The Lagrangian density of such fluid is stated and the equations of motion of the fluid and the evolution equation of the hypermomentum tensor are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. V. Babourova , B. N. Frolov

A cosmological model with an inhomogeneous viscous dark fluid coupled with dark matter in a flat Friedman-Robertson-Walker universe is investigated. The influence of dark matter on the behavior of an inhomogeneous viscous fluid of this…

General Relativity and Quantum Cosmology · Physics 2015-06-22 E. Elizalde , V. V. Obukhov , A. V. Timoshkin

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

We describe the cosmological dynamics of perfect fluids within the framework of effective field theories. The effective action is a derivative expansion whose terms are selected by the symmetry requirements on the relevant long-distance…

High Energy Physics - Theory · Physics 2013-05-23 Guillermo Ballesteros , Brando Bellazzini

In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a sufficient constraint to make a quantum mechanical problem solvable; i.e., we can determine its eigenvalues and eigenfunctions algebraically. Since…

High Energy Physics - Theory · Physics 2011-11-10 Jonathan Bougie , Asim Gangopadhyaya , Jeffry V. Mallow

We reformulate Einstein's theory of gravity, isolating the conformal degree of freedom in a covariant way. This is done by introducing a physical metric defined in terms of an auxiliary metric and a scalar field appearing through its first…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-02 Ali H. Chamseddine , Viatcheslav Mukhanov

We consider various forms of action allowing us to describe a perfect fluid in the framework of General Relativity. First we consider a potential motion without pressure. Starting from an action in terms of the current density vector built…

General Relativity and Quantum Cosmology · Physics 2017-11-01 S. A. Paston

Treating dark matter at large scales as an effectively viscous fluid provides an improved framework for the calculation of the density and velocity power spectra compared to the standard assumption of an ideal pressureless fluid. We discuss…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 S. Floerchinger , M. Garny , N. Tetradis , U. A. Wiedemann

We propose conformal invariance as a fundamental symmetry governing cosmological particle creation from vacuum fluctuations, employing a phenomenological approach with an ideal fluid action to address the long-standing back-reaction…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Victor Berezin , Inna Ivanova , Anastasia Kuprina

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

General Relativity and Quantum Cosmology · Physics 2014-04-30 Giorgio Papini