Complete Classification of Analytical Models in Einstein-Aether Cosmology

Abstract

We present all possible analytical solutions of the Friedmann-Lemaître-Robertson-Walker metric in Einstein-aether theory for all values of the cosmological constant and spatial curvature with many reasonable values of the equation-of-state parameter. We analyze the dynamics of each model analytically and also graphically by plotting the geometric radius, Hubble and deceleration parameters along with the effective energy conditions. All our results are compared with the corresponding models in General Relativity. The two key results are (i) the aether does not qualitatively change the dynamics of the cosmological models but merely scales the geometric radius, Hubble, and deceleration parameters, and (ii) we found eight models that are entirely void of any aether, meaning in such a universe aether does not play any role cosmologically, although it affects the solar system dynamics.

20 pages, 9 figures and 6 tables. We have improved and corrected several misprints in the previous manuscript

References in corpus (26)

• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints
• Lorentz-Violating Vector Fields Slow the Universe Down
• Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Post-Newtonian parameters and constraints on Einstein-aether theory
• Constraints on Einstein-aether theory after GW170817
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Strong field effects on binary systems in Einstein-aether theory
• Numerical simulations of gravitational collapse in Einstein-aether theory
• Classical Stability of Sudden and Big Rip Singularities
• A positive energy theorem for Einstein-aether and Hořava gravity
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
• Some Inflationary Einstein-Aether Cosmologies
• On Anisotropic Dark Energy
• Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential
• Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
• Gravitational collapse and formation of universal horizons in Einstein-aether theory
• Existence of New Singularities in Einstein-Aether Theory
• Vacuum solutions in the Einstein-Aether Theory
• Spherically Symmetric Analytic Solutions and Naked Singularities in Einstein-Aether Theory
• Thermodynamics of Einstein-Aether Black Holes
• Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p=w\rho$
• Is Birkhoff's Theorem Valid in Einstein-Aether Theory?
• The fate of Lorentz frame in the vicinity of black hole singularity
• Cylindrical Gravitational Waves in Einstein-Aether Theory