Dynamical Cancellation of Cosmological Constant

Details Dynamical Cancellation of Cosmological Constant Dynamical Cancellation of Cosmological Constant

2009-06-22

arxiv.org/abs/0906.4091v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

It is found that sudden changes in vacuum energy in matter Lagrangian are cancelled dynamically by the role of the scalar field in the induced gravity, uniquely determining the scalar potential as $V(\phi) = (\alpha/2)\ln(\phi/\mu)^{2}$. Throughout the dynamical cancellation of a sudden change in vacuum energy, the total dark energy density remains unchanged decreasing the gravitational constant. It is shown that the scalar field is stable around a constant scalar field which satisfies the relation, $\rho_{m}-3p_{m}+4\rho_{\Lambda}=\alpha$, between the matter density $\rho_{m}$, matter pressure $p_{m}$ and the dark energy density $\rho_{\Lambda}$ which depends on the scalar field.

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