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Title: Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory

Abstract

In this paper, we analyze the cosmological models in Einstein-Aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We use this formalism to analyse different cosmological models with different behavior of the scale factor. In this analysis, we use a certain functional dependence of the Dark Energy (DE) on the Hubble parameter H . It will be demonstrated that the Aether vector field has a non-trivial effect on these cosmological models. We also perform the Om diagnostic in Einstein-Aether gravity and we fit the parameters of the cosmological models using recent observational data.

Authors:
 [1];  [2]; ;  [3];  [4];  [5]
  1. Department of Physics, University of Trieste, Via Valerio 2, 34127 Trieste (Italy)
  2. Pailan College of Management and Technology, Bengal Pailan Park, Kolkata-700 104 (India)
  3. Eurasian International Center for Theoretical Physics and Department of General and Theoretical Physics, Eurasian National University, Astana 010008 (Kazakhstan)
  4. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000 (Pakistan)
  5. Irving K. Barber School of Arts and Sciences, University of British Columbia‚ÄĒOkanagan, Kelowna, British Columbia V1V 1V7 (Canada)
Publication Date:
OSTI Identifier:
22679925
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 04; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL MODELS; GENERAL RELATIVITY THEORY; GRAVITATION; NONLUMINOUS MATTER; SYMMETRY; VECTOR FIELDS

Citation Formats

Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com. Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/04/015.
Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, & Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com. Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory. United States. doi:10.1088/1475-7516/2017/04/015.
Pasqua, Antonio, Chattopadhyay, Surajit, Momeni, Davood, Myrzakulov, Ratbay, Raza, Muhammad, and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com. Sat . "Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory". United States. doi:10.1088/1475-7516/2017/04/015.
@article{osti_22679925,
title = {Cosmological reconstruction and Om diagnostic analysis of Einstein-Aether theory},
author = {Pasqua, Antonio and Chattopadhyay, Surajit and Momeni, Davood and Myrzakulov, Ratbay and Raza, Muhammad and Faizal, Mir, E-mail: toto.pasqua@gmail.com, E-mail: surajcha@iucaa.ernet.in, E-mail: d.momeni@yahoo.com, E-mail: mraza@zju.edu.cn, E-mail: rmyrzakulov@gmail.com, E-mail: mirfaizalmir@gmail.com},
abstractNote = {In this paper, we analyze the cosmological models in Einstein-Aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We use this formalism to analyse different cosmological models with different behavior of the scale factor. In this analysis, we use a certain functional dependence of the Dark Energy (DE) on the Hubble parameter H . It will be demonstrated that the Aether vector field has a non-trivial effect on these cosmological models. We also perform the Om diagnostic in Einstein-Aether gravity and we fit the parameters of the cosmological models using recent observational data.},
doi = {10.1088/1475-7516/2017/04/015},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 04,
volume = 2017,
place = {United States},
year = {Sat Apr 01 00:00:00 EDT 2017},
month = {Sat Apr 01 00:00:00 EDT 2017}
}
  • We show that the Einstein-aether theory of Jacobson and Mattingly (J and M) can be understood in the framework of the metric-affine (gauge theory of) gravity (MAG). We achieve this by relating the aether vector field of J and M to certain post-Riemannian nonmetricity pieces contained in an independent linear connection of spacetime. Then, for the aether, a corresponding geometrical curvature-square Lagrangian with a massive piece can be formulated straightforwardly. We find an exact spherically symmetric solution of our model.
  • 'Einstein-Aether' theory, in which gravity couples to a dynamical, timelike, unit-norm vector field, provides a means for studying Lorentz violation in a generally covariant setting. Demonstrated here is the effect of a redefinition of the metric and 'aether' fields in terms of the original fields and two free parameters. The net effect is a change of the coupling constants appearing in the action. Using such a redefinition, one of the coupling constants can be set to zero, simplifying studies of solutions of the theory.
  • This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory - an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to lowest post-Newtonian order are wave forms for the metric and vector fields far from a nearly Newtonian system and the rate of energy radiated by the system. The expressions depend on the quadrupole moment of the source, as in standard general relativity, but also contain monopolar and dipolar terms. There exists a one-parameter family of Einstein-aether theories for which only the quadrupolarmore » contribution is present, and for which the expression for the damping rate is identical to that of general relativity to the order worked to here. This family cannot yet be declared observationally viable, since effects due to the strong internal fields of bodies in the actual systems used to test the damping rate have not yet been determined.« less
  • We analyze the observational and theoretical constraints on ''Einstein-aether theory,'' a generally covariant theory of gravity coupled to a dynamical, unit, timelike vector field that breaks local Lorentz symmetry. The results of a computation of the remaining post-Newtonian parameters are reported. These are combined with other results to determine the joint post-Newtonian, vacuum-Cerenkov, nucleosynthesis, stability, and positive-energy constraints. All of these constraints are satisfied by parameters in a large two-dimensional region in the four-dimensional parameter space defining the theory.
  • We investigate the energy of a theory with a unit vector field (the aether) coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy density of the 5 wave modes. The requirement that the modes have positive energy is then used to constrain the theory. In the fully nonlinear theory we compute the total energy of an asymptotically flat spacetime. The resulting energy expression is modified by the presence of the aether due to the nonzero value of the unit vector at infinity and its 1/r falloff.more » The question of nonlinear energy positivity is also discussed, but not resolved.« less