On the generalization of McVittie's model for an inhomogeneity in a cosmological spacetime - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: McVittie-s spacetime is a spherically symmetric solution to Einstein-sequation with an energy-momentum tensor of a perfect fluid. It describes theexternal field of a single quasi-isolated object with vanishing electric chargeand angular momentum in an environment that asymptotically tends to aFriedmann-Lemaitre-Robertson-Walker universe. We critically discuss somerecently proposed generalizations of this solution, in which radial matteraccretion as well as heat currents are allowed. We clarify the hithertounexplained constraints between these two generalizing aspects as being due toa geometric property, here called spatial Ricci-isotropy, which forcessolutions covered by the McVittie ansatz to be rather special. We also clarifyother aspects of these solutions, like whether they include geometries whichare in the same conformal equivalence class as the exterior Schwarzschildsolution, which leads us to contradict some of the statements in the recentliterature.



Author: Matteo Carrera, Domenico Giulini

Source: https://arxiv.org/







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