Correction to Einstein's perihelion precession formula from a traceless, anisotropic vacuum energy

Physics

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Scientific paper

Quantum field theory in curved space-time implies that the strong equivalence principle is violated outside a spherically symmetric, static star. Here we assume that quantum gravity effects restore the strong equivalence principle. Together with the assumption that the effective vacuum polarization energy-momentum tensor is traceless, this leads to a specific algebraic form of the energy-momentum tensor for which an exact solution of Einstein's field equations is found. The solution gives the post-Newtonian parametersγ=1 andβ=1+3δ, whereδ is a dimensionless constant which determines the energy density of the anisotropic vacuum. The vacuum energy changes the perihelion precession by a factor of 1-δ.

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