6533b825fe1ef96bd1281ee9
RESEARCH PRODUCT
Labeling spherically symmetric spacetimes with the Ricci tensor
Juan Antonio SáezJoan Josep Ferrandosubject
PhysicsIdeal (set theory)Physics and Astronomy (miscellaneous)010308 nuclear & particles physicsFOS: Physical sciencesPerfect fluidGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)01 natural sciencesGeneral Relativity and Quantum Cosmology0103 physical sciencesMetric (mathematics)Metric tensor (general relativity)Algebraic number010306 general physicsSchwarzschild radiusRicci curvatureMathematical physicsdescription
We complete the intrinsic characterization of spherically symmetric solutions partially accomplished in a previous paper [Class.Quant.Grav. (2010) 27 205024]. In this approach we consider every compatible algebraic type of the Ricci tensor, and we analyze specifically the conformally flat case for perfect fluid and Einstein-Maxwell solutions. As a direct application we obtain the {\em ideal} labeling (exclusively involving explicit concomitants of the metric tensor) of the Schwarzschild interior metric and the Vaidya solution. The Stephani universes and some significative subfamilies are also characterized.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-18 |