Reduced Lagrangians and analytic solutions in Einstein-æther Cosmology
arXiv:1811.10291 · doi:10.1140/epjc/s10052-019-6868-3
Abstract
We present the solution space of the field equations in the Einstein-æther theory for the case of a and a LRS Bianchi Type space-time. We also find that there are portions of the initial parameters space for which no solution is admitted by the reduced equations. The reduced Lagrangians deduced from the full action are, in general, correctly describing the dynamics whenever solutions do exist
arXiv comment11 pages, Latex2e source file, no figures
References in corpus (40)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Planck 2013 results. XVI. Cosmological parameters
- Modified Gravity and Cosmology
- New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
- The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
- Gravity with a dynamical preferred frame
- Lorentz-Violating Vector Fields Slow the Universe Down
- Modified gravity models of dark energy
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- Black Holes in Einstein-Aether Theory
- Using the Noether symmetry approach to probe the nature of dark energy
- Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars
- On Spacetimes with Constant Scalar Invariants
- Undoing the twist: the Hořava limit of Einstein-aether
- Slowly rotating black holes in Einstein-æther theory
- Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity
- A positive energy theorem for Einstein-aether and Hořava gravity
- Some Inflationary Einstein-Aether Cosmologies
- Coupling the inflaton to an expanding aether
- Cosmic alignment of the aether
- Classical and Quantum Solutions in Brans-Dicke Cosmology with a Perfect Fluid
- Conditional Symmetries and the Canonical Quantization of Constrained Minisuperspace Actions: the Schwarzschild case
- Inflationary Instabilities of Einstein-Aether Cosmology
- Kantowski-Sachs Einstein-æther perfect fluid models
- Einstein-aether theory with a Maxwell field: General formalism
- Spherically symmetric Einstein-aether perfect fluid models
- Hamiltonian quantization of General Relativity with the change of signature
- Minisuperspace Canonical Quantization of the Reissner-Nordstrom Black Hole via Conditional Symmetries
- Stability of Einstein-Aether Cosmological Models
- Stability of the aether
- A Static Spherically Symmetric Solution of the Einstein-aether Theory
- Canonical Quantization of the BTZ Black Hole using Noether Symmetries
- On the Integrability of Bianchi Cosmological Models
- Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems
- Integrability from Point Symmetries in a family of Cosmological Horndeski Lagrangians
- Quantization of minisuperspaces as ordinary gauge systems
- Einstein-aether theory: Dynamics of relativistic particles with spin or polarization in a Gödel-type universe
- Analytic integrability of the Bianchi Class A cosmological models with 0<= k<1
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