Shear-dependent Pressure in a Lemaître-Tolman-Bondi Metric

Abstract

We propose to explain the dimming of distant supernovae as the combined effect of dark energy and a Lemaître-Tolman-Bondi (LTB) metric. We take dark energy to have a shear-dependent pressure $p_{DE}=(w_0+\epsilon w_1){\rho }_{DE}$ where $\epsilon$ is the ratio of LTB shear to LTB expansion.

5 pages. A lapse function is now included in the metric

References in corpus (2)

• Complete solutions to the metric of spherically collapsing dust in an expanding spacetime with a cosmological constant
• Exact spherically-symmetric inhomogeneous model with n perfect fluids