Details
| Original language | English |
|---|---|
| Article number | 043521 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 81 |
| Issue number | 4 |
| Publication status | Published - 11 Feb 2010 |
Abstract
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-Lemaître-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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 81, No. 4, 043521, 11.02.2010.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Generalization of McVittie's model for an inhomogeneity in a cosmological spacetime
AU - Carrera, Matteo
AU - Giulini, Domenico
PY - 2010/2/11
Y1 - 2010/2/11
N2 - 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-Lemaître-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.
AB - 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-Lemaître-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.
UR - http://www.scopus.com/inward/record.url?scp=77749320538&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.81.043521
DO - 10.1103/PhysRevD.81.043521
M3 - Article
AN - SCOPUS:77749320538
VL - 81
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 4
M1 - 043521
ER -