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Related papers: Fluid nature constrains Horndeski gravity

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The present paper is concerned with the well-posedness theory for non-homogeneous incompressible fluids exhibiting odd (non-dissipative) viscosity effects. Differently from previous works, we consider here the full odd viscosity tensor.…

Analysis of PDEs · Mathematics 2024-01-31 Francesco Fanelli , Alexis F. Vasseur

We discuss general 2-fluid hydrodynamic equations for complex fluids, where one kind is a simple Newtonian fluid, while the other is either liquid-crystalline or polymeric/elastomeric, thus being applicable to lyotropic liquid crystals,…

Soft Condensed Matter · Physics 2009-11-10 H. Pleiner , J. L. Harden

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

In this paper we show in a covariant and gauge invariant way that in general relativity, tidal forces are actually a hidden form of gravitational waves. This must be so because gravitational effects cannot occur faster than the speed of…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Rituparno Goswami , George F. R. Ellis

Using a simple and well-motivated modification of the stress-energy tensor for a viscous fluid proposed by Lichnerowicz, we prove that Einstein's equations coupled to a relativistic version of the Navier-Stokes equations are well-posed in a…

Mathematical Physics · Physics 2014-07-25 Marcelo M. Disconzi

We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution of vorticity in the sense that the flows consist of two…

Analysis of PDEs · Mathematics 2015-03-05 Calin Iulian Martin , Bogdan-Vasile Matioc

We present hydrodynamic equations with relativistic pressure and velocity in the presence of weak gravity, in a cosmological context. Previously we consistently derived special relativistic hydrodynamic equations with weak gravity in…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Hyerim Noh , Jai-chan Hwang , Chan-Gyung Park

We consider a variant of the Nojiri-Odintsov covariant Horava-like gravitational model, where diffeomorphism invariance is broken dynamically via a non-standard coupling to a perfect fluid. The theory allows to address some of the potential…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

The gravitational-wave event GW170817 from a binary neutron star merger together with the electromagnetic counterpart showed that the speed of gravitational waves $c_t$ is very close to that of light for the redshift $z<0.009$. This places…

General Relativity and Quantum Cosmology · Physics 2019-05-07 Ryotaro Kase , Shinji Tsujikawa

The two-fluid theory for superfluid hydrodynamics is derived from the fountain pressure result that condensed bosons move at constant entropy and are driven by the chemical potential gradient. Explicit results for $^4$He show that the…

Statistical Mechanics · Physics 2025-09-09 Phil Attard

We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the first law of thermodynamics to derive the generalized…

Mathematical Physics · Physics 2018-11-14 Hajime Koba , Kazuki Sato

We present an exploration of the phenomenology of Horndeski gravity, focusing on regimes that produce weak gravity compared to General Relativity. This letter introduces a novel method to generate models of modified gravity theories that…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Linus Thummel , Benjamin Bose , Alkistis Pourtsidou

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical…

Soft Condensed Matter · Physics 2013-04-25 Michel Destrade , Giuseppe Saccomandi

The experiment shows that small liquid droplets under the action of gravity and the Archimedes force move in the external viscous liquid practically according to the Stokes drag force equation, and not in accordance with the…

Fluid Dynamics · Physics 2025-02-11 Peter Lebedev-Stepanov

Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation…

General Physics · Physics 2007-05-23 Yuri A. Rylov

In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not ``fundamental'' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Carlos Barcelo , Matt Visser , Stefano Liberati

Genesis within the Horndeski theory is one of possible scenarios for the start of the Universe. In this model, the absence of instabilities is obtained at the expense of the property that coefficients, serving as effective Planck masses,…

High Energy Physics - Theory · Physics 2020-12-30 Y. Ageeva , P. Petrov , V. Rubakov

We propose an effective anisotropic fluid description for a generic infrared-modified theory of gravity. In our framework, the additional component of the acceleration, commonly attributed to dark matter, is explained as a radial pressure…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Mariano Cadoni , Roberto Casadio , Andrea Giusti , Wolfgang Mück , Matteo Tuveri

We explore Noether symmetries of Horndeski gravity, extending the classification of general scalar-tensor theories. Starting from the minimally coupled scalar field and the first-generation scalar-tensor gravity, the discussion is…

General Relativity and Quantum Cosmology · Physics 2024-08-20 Marcello Miranda , Salvatore Capozziello , Daniele Vernieri

A rigidly rotating incompressible perfect fluid solution of Einstein's gravitational equations is discussed. The Petrov type is D, and the metric admits a four-parameter isometry group. The Gaussian curvature of the constant-pressure…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Zoltán Perjés , Gyula Fodor , László Á. Gergely , Mattias Marklund
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