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Related papers: Remarks on the Generalized Chaplygin Gas

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We explicitly demonstrate that, contrary to recent claims, the dynamics of a generalized Chaplygin gas model with an equation of state $p=-C$ (where $C$ is a positive constant) is equivalent to that of a standard $\Lambda$CDM model to first…

Astrophysics · Physics 2009-11-10 P. P. Avelino , L. M. G. Beca , J. P. M. de Carvalho , C. J. A. P. Martins

In the frame of the scalar field model with non minimal kinetic coupling to gravity, we study the cosmological solutions of the Chaplygin gas model of dark energy. By appropriately restricting the potential, we found the scalar field, the…

High Energy Physics - Theory · Physics 2011-07-28 L. N. Granda , E. Torrente-Lujan , J. J. Fernandez-Melgarejo

We study the Generalized Chaplygin gas model (GCGM) using Gamma-ray bursts as cosmological probes. In order to avoid the so-called circularity problem we use cosmology-independent data set and Bayesian statistics to impose constraints on…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-19 R. C. Freitas , S. V. B. Gonçalves , H. E. S. Velten

In this work we discuss the application of the Hamilton-Jacobi formalism on the scalar field implementation of Generalized Chaplygin Gas models. This corresponds to a Generalised Born-Infeld action for the scalar field, which in an initial…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Yordan Ignatov , Mauro Pieroni

The generalized Chaplygin gas is usually defined as a barotropic perfect fluid with an equation of state $p=-A \rho^{-\alpha}$, where $\rho$ and $p$ are the proper energy density and pressure, respectively, and $A$ and $\alpha$ are positive…

General Relativity and Quantum Cosmology · Physics 2018-08-22 V. M. C. Ferreira , P. P. Avelino

We consider a system of two balance laws of Keyfitz-Kranzer type with varying generalized Chaplygin gas, which exhibits negative pressure and is a product of a function of time and the inverse of a power of the density. The Chaplygin gas is…

Analysis of PDEs · Mathematics 2025-08-12 Jack Frew , Nigel Keyser , Ethan Kim , Griffin Paddock , Camden Toumbleston , Sara Wilson , Charis Tsikkou

We show in a new way that the general relativity action (and Lagrangian)in recent Einstein-Palatini formulation is equivalent in four dimensions to the action (and Lagrangian) of a gauge field. This paper is a continuation of the previous…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Marta Dudek , Janusz Garecki

We explore exact f(R) gravity solutions that mimic Chaplygin-gas inspired LCDM cosmology. Starting with the original and modified Chaplygin gas equations of state, we reconstruct the forms of f(R) Lagrangians. The resulting solutions are…

General Relativity and Quantum Cosmology · Physics 2016-11-24 Maye Elmardi , Amare Abebe , Abiy Tekola

The Chapman-Enskog method of solution of the relativistic Boltzmann equation is generalized in order to admit a time-derivative term associated to a thermodynamic force in its first order solution. Both existence and uniqueness of such a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. L. Garcia-Perciante , A. Sandoval-Villalbazo , L. S. Garcia-Colin

We review the difficulties of the generalized Chaplygin gas model to fit observational data, due to the tension between background and perturbative tests. We argue that such issues may be circumvented by means of a self-interacting scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 J. C. Fabris , O. F. Piattella , D. C. Rodrigues , C. E. M. Batista , M. H. Daouda

We investigate the Tolman-Oppenheimer-Volkoff equations for the generalized Chaplygin gas with the aim of extending the findings of V. Gorini, U. Moschella, A. Y. Kamenshchik, V. Pasquier, and A. A. Starobinsky [Phys. Rev. D {\bf 78},…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Gorini , A. Yu. Kamenshchik , U. Moschella , O. F. Piattella , A. A. Starobinsky

We study a gravitational action which is a linear combination of the Hilbert-Palatini term and a term quadratic in torsion and possessing local Poincare invariance. Although this action yields the same equations of motion as General…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Jian Yang , Kinjal Banerjee , Yongge Ma

Our main interest here is to analyze the gauge invariance issue concerning the noncommutative relativistic particle. Since the analysis of the constraint set from Dirac's point of view classifies it as a second-class system, it is not a…

High Energy Physics - Theory · Physics 2018-01-17 Everton M. C. Abreu , Cresus F. L. Godinho

We work on the Lagrangian formulation of the Palatini action. We find that we must assume the metric compatibility condition for the Palatini action to describe General Relativity, which condition should hold in quantization. We find that…

General Relativity and Quantum Cosmology · Physics 2018-07-03 SangChul Yoon

A connection-independent formulation of general relativity is presented, in which the dynamics does not depend on the choice of connection. The gravity action in this formulation includes one additional scalar term in addition to the…

General Relativity and Quantum Cosmology · Physics 2021-05-20 Junpei Harada

We present a unified formulation for higher gauge theory using generalized forms, encompassing higher connections, curvatures, and gauge transformations. We begin by developing the calculus of generalized forms valued in higher algebras and…

Mathematical Physics · Physics 2026-01-30 Danhua Song , Mengyao Wu

Regge action is represented analogously to how the Palatini action for general relativity (GR) as some functional of the metric and a general connection as independent variables represents the Einstein-Hilbert action. The piecewise flat (or…

General Relativity and Quantum Cosmology · Physics 2016-06-17 V. M. Khatsymovsky

In this work, we derive a generalization of the so-called Schr\"odinger-Langevin or Kostin equation for a Brownian particle interacting with a heat bath. This generalization is based on a nonlinear interaction model providing a…

Quantum Physics · Physics 2014-01-20 Pedro Bargueño , Salvador Miret--Artés

In this paper we construct modified cosmic Chaplygin gas which has viscosity. We use exponential function method to solve non-linear equation and obtain time-dependent dark energy density. Then discuss Hubble expansion parameter and scale…

General Relativity and Quantum Cosmology · Physics 2013-06-05 Behnam Pourhassan

We develop a version of quantum mechanics that can handle nonassociative algebras of observables and which reduces to standard quantum theory in the traditional associative setting. Our algebraic approach is naturally probabilistic and is…

Quantum Physics · Physics 2024-05-10 Peter Schupp , Richard J. Szabo