Bounds on 2m/r for static perfect fluids
| dc.creator | Heinzle, J. Mark | |
| dc.date | 2007-08-24 | |
| dc.date.accessioned | 2026-07-07T08:25:25Z | |
| dc.date.available | 2026-07-07T08:25:25Z | |
| dc.description | For spherically symmetric relativistic perfect fluid models, the well-known Buchdahl inequality provides the bound $2 M/R \leq 8/9$, where $R$ denotes the surface radius and $M$ the total mass of a solution. By assuming that the ratio $p/ρ$ be bounded, where $p$ is the pressure, $ρ$ the density of solutions, we prove a sharper inequality of the same type, which depends on the actual bound imposed on $p/ρ$. As a special case, when we assume the dominant energy condition $p/ρ\leq 1$, we obtain $2 M/R \leq 6/7$. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0708.3352 | |
| dc.identifier | http://arxiv.org/abs/0708.3352 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136649 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Bounds on 2m/r for static perfect fluids | |
| dc.type | text |