Generalization of McVittie's model for an inhomogeneity in a cosmological spacetime

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.043521· OSTI ID:21409275

Carrera, Matteo; Giulini, Domenico ^[1]

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1. Institute of Physics, University of Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg (Germany)

McVittie's spacetime is a spherically symmetric solution to Einstein's equation with an energy-momentum tensor of a perfect fluid. It describes the external field of a single quasi-isolated object with a vanishing electric charge and angular momentum in an environment that asymptotically tends to a Friedmann-Lemaitre-Robertson-Walker universe. We critically discuss some recently proposed generalizations of this solution, in which radial matter accretion as well as heat currents are allowed. We clarify the hitherto unexplained constraints between these two generalizing aspects as being due to a geometric property, here called 'spatial Ricci-isotropy', which forces solutions covered by the McVittie ansatz to be rather special. We also clarify other aspects of these solutions, like whether they include geometries which are in the same conformal equivalence class as the exterior Schwarzschild solution, which leads us to contradict some of the statements in the recent literature.

• OSTI ID: 21409275
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ANGULAR MOMENTUM
COSMOLOGY
EINSTEIN FIELD EQUATIONS
ELECTRIC CHARGES
ENERGY
ENERGY-MOMENTUM TENSOR
EQUATIONS
FIELD EQUATIONS
FLUID FLOW
HEAT
IDEAL FLOW
INCOMPRESSIBLE FLOW
ISOTROPY
MATHEMATICAL SOLUTIONS
METRICS
SCHWARZSCHILD METRIC
SIMULATION
SPACE-TIME
STEADY FLOW
SYMMETRY
TENSORS
UNIVERSE