Cosmological models with Lagrange Multiplier Field
arXiv:1003.6056 · doi:10.1016/j.physletb.2011.06.085
Abstract
We first consider the Einstein-aether theory with a gravitational coupling and a Lagrange multiplier field, and then consider the non-minimally coupled quintessence field theory with Lagrange multiplier field. We study the influence of the Lagrange multiplier field on these models. We show that the energy density evolution of the Einstein-aether field and the quintessence field are significantly modified. The energy density of the Einstein-aether is nearly a constant during the entire history of the Universe. The energy density of the quintessence field can also be kept nearly constant in the matter dominated Universe, or even exhibit a phantom-like behavior for some models. This suggests a possible dynamical origin of the cosmological constant or dark energy. Further more, for the canonical quintessence in the absence of gravitational coupling, we find that the quintessence scalar field can play the role of cold dark matter with the introduction of a Lagrange multiplier field. We conclude that the Lagrange multiplier field could play a very interesting and important role in the construction of cosmological models.
8 pages, 3 figures. Version accepted for publication
References in corpus (27)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Cosmology and the Fate of Dilatation Symmetry
- A Dark Energy Model Characterized by the Age of the Universe
- A New Model of Agegraphic Dark Energy
- A Holographic Dark Energy Model from Ricci Scalar Curvature
- Infrared cut-off proposal for the Holographic density
- Exact cosmological solutions with nonminimal derivative coupling
- Dust of Dark Energy
- Statefinder Diagnosis for Ricci Dark Energy
- Interacting Agegraphic Dark Energy
- Dark energy from modified gravity with Lagrange multipliers
- Crossing the Phantom Divide
- Holographic tachyon model
- Quintessence reconstruction of the new agegraphic dark energy model
- When scalar field is kinetically coupled to the Einstein tensor
- Screening of cosmological constant in non-local gravity
- Instabilities in the Aether
- Inflation with Holographic Dark Energy
- Possible theoretical limits on holographic quintessence from weak gravity conjecture
- Cyclic cosmology from Lagrange-multiplier modified gravity
- Remarks on Dynamical Dark Energy Measured by the Conformal Age of the Universe
- A proposal for covariant renormalizable field theory of gravity
- Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe
- Sigma-Model Aether
- Covariant Lagrange multiplier constrained higher derivative gravity with scalar projectors
- Hamiltonian Analysis of Lagrange Multiplier Modified Gravity
- Non-Gaussianity with Lagrange Multiplier Field in the Curvaton Scenario
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- Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
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- General Analytic Solutions of Scalar Field Cosmology with Arbitrary Potential
- Weyl-Cartan-Weitzenböck gravity through Lagrange multiplier
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- Kinetic Scalar Curvature Extended Gravity
- Scalar-tensor theory with Lagrange multipliers: a way of understanding the cosmological constant problem, and future singularities
- The key role of Lagrangian multiplier in mimetic gravitational theory in the frame of isotropic compact star
- Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
- Observational constraints on a cosmological model with Lagrange multipliers
- Ghost from constraints: a generalization of Ostrogradsky theorem
- Non-Gaussianity with Lagrange Multiplier Field in the Curvaton Scenario
- Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
- Black branes in four-dimensional conformal equivalent theories
- Novel modified gravity braneworld configurations with a Lagrange multiplier
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- Higher order mimetic gravity after GW170817
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- Introduction of the generalized Lorenz gauge condition into the vector-tensor theory