Determinant-Gravity: Cosmological implications

Abstract

We analyze the action $\int d^{4}x\sqrt{\det ||\mathcal{B}{g}_{\mu \nu }+\mathcal{C}{R}_{\mu \nu }}||$ as a possible alternative or addition to the Einstein gravity. Choosing a particular form of $\mathcal{B}(R)=\sqrt{R}$ we can restore the Einstein gravity and, if $\mathcal{B}=m^2$, we obtain the cosmological constant term. Taking $\mathcal{B}=m^2+{\mathcal{B}}_{1}R$ and expanding the action in $1/m^2$, we obtain as a leading term the Einstein Lagrangian with a cosmological constant proportional to $m^4$ and a series of higher order operators. In general case of non-vanishing $\mathcal{B}$ and $\mathcal{C}$ new cosmological solutions for the Robertson-Walker metric are obtained.

revtex format, 5 pages,8 figures,references added

References in corpus (6)

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• Particle acceleration around rotating Einstein-Born-Infeld black hole and plasma effect on gravitational lensing
• Born-Infeld gravity and its functional extensions
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• Unitarity analysis of general Born-Infeld gravity theories
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
• Cosmological singularities in Born-Infeld determinantal gravity
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• Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity
• Primordial brusque bounce in Born-Infeld determinantal gravity
• Nonsingular black holes in Palatini extensions of General Relativity
• BTZ gems inside regular Born-Infeld black holes
• Born - Infeld-like modified gravity
• The regular cosmic string in Born-Infeld gravity
• Notes on Born-Infeld-like modified gravity
• Cosmological implications of Born-Infeld-$f(R)$ gravity
• Logarithmic gravity model
• Born - Infeld-type modified gravity
• Born-Infeld-$f(R)$ gravity with de Sitter solutions
• Flux vacua in DBI type Einstein-Maxwell theory