Gravitational collapse of spherical shells of fluid in the isotropic homogeneous universe
arXiv:2111.15032 · doi:10.1016/j.physletb.2022.137418
Abstract
We investigate gravitational collapse of thick shell of fluid in the isotropic homogeneous universe without radiation described by the Einstein gravity with cosmological constant. We construct analytic solutions of this kind interpolating the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric and the de-Sitter Schwarzschild black hole one by the Gullstrand-Painlevé one. After determining the scale factor for a perfect fluid coexisting with cosmological constant, we determine the orbit of the collapsing shells of fluid from the continuity condition for density and the perpendicular component of pressure at interface. However the continuity condition cannot fix the orbit when there does not exist a perfect fluid inside the shells. In this case we determine the orbit from an equation of state for the fluid consisting a shell near the surface. Finally we confirm that the total energy defined in arXiv:2005.13233 is independent of the given time evolution in this system.
arXiv comment1+22 pages, 6 figures, v2: clarification of the scale factor connecting to inflationary period, v3: further clarification, minor improvements, figures, references added, v4: reorganization, minor revisions, published version
References in corpus (17)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
- The Galactic Center Massive Black Hole and Nuclear Star Cluster
- Recent developments in gravitational collapse and spacetime singularities
- The river model of black holes
- Gravitational Collapse with a Cosmological Constant
- Simple Analytic Models of Gravitational Collapse
- Gravitational Collapse of Dust with a Cosmological Constant
- Gravitational Perfect Fluid Collapse With Cosmological Constant
- Gravitational collapse in Painlevé-Gullstrand coordinates
- Conserved charges in general relativity
- Gravitational collapse in asymptotically Anti-de Sitter/de Sitter backgrounds
- Charge Conservation, Entropy Current, and Gravitation
- Higher dimensional dust collapse with a cosmological constant
- Gravitational dust collapse with cosmological constant
- An analytic model for gravitational collapse of spherical matter under mixed pressure