Determinant-Gravity: Cosmological implications

Details Determinant-Gravity: Cosmological implications Determinant-Gravity: Cosmological implications

2004-04-15

arxiv.org/abs/gr-qc/0404065v2

JHEP0411:062,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

revtex format, 5 pages,8 figures,references added

Scientific paper

10.1088/1126-6708/2004/11/062

We analyze the action $\int d^4x \sqrt{\det||{\cal B} g_{\mu\nu}+ {\cal C} R_{\mu\nu}}||$ as a possible alternative or addition to the Einstein gravity. Choosing a particular form of ${\cal B}(R)= \sqrt {R}$ we can restore the Einstein gravity and, if ${\cal B}=m^2$, we obtain the cosmological constant term. Taking ${\cal B} = m^2 + {\cal B}_1 R$ 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 ${\cal B}$ and ${\cal C}$ new cosmological solutions for the Robertson-Walker metric are obtained.

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