Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators
| Autor: | M. P. Machado Ramos, S. Brian Edgar |
|---|---|
| Přispěvatelé: | Universidade do Minho |
| Rok vydání: | 2007 |
| Předmět: |
Physics
Science & Technology Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Isotropy FOS: Physical sciences Invariant formalism General Relativity and Quantum Cosmology (gr-qc) Cosmological constant Radiation 01 natural sciences General Relativity and Quantum Cosmology Pure radiation metrics Killing vector field Formalism (philosophy of mathematics) 0103 physical sciences Invariant (mathematics) 010306 general physics Ricci curvature Scalar curvature Mathematical physics |
| Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
| ISSN: | 1572-9532 0001-7701 |
| DOI: | 10.1007/s10714-006-0392-0 |
| Popis: | Using the generalised invariant formalism we derive a class of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors. Vetenskapsrådet - Swedish Research Council. Officina Mathematica da Universidade do Minho. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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