Published 1988
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Are there causal vacuum solutions with the symmetries of the Goedel universe in higher-derivative gravity
Description
A globally causal vacuum solution with the symmetries of the Godel universe is obtained in the framework of higher-derivative gravity. This very peculiar and rare result has no similar one in the standard general relativity. The Reboucas-Tiomno universe, i.e., the unique completely causal Goedel-type solution of Einstein's field equations with the algebraic Segre characteristics [(1,11)] is shown to be a special case of our solution. It is also shown that one model is an imbedding of the 3-dimensional anti-de Litter universe in 4-dimensional space-time. (authors)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Uma solucao de vacuo globalmente causal com as simetrias do universo de Godel e obtida, no contexto de gravitacao de altas derivadas. Esse resultado muito peculiar e raro nao tem similar na relatividade geral padrao. Mostra-se que o universo de Reboucas-Tiomno, i.e., a unica solucao completamente causal do tipo Goedel das equacoes de campo de Einstein com a caracteristica algebrica de Segre [(1,11)] e um caso especial da nossa solucao. Mostra-se tambem que nosso modelo e um 'imbedding' do anti-universo de Litter 3-dimensional no espaco tempo 4-dimensional. (L.C.)Files
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Additional details
Publishing Information
- Imprint Pagination
- 11 p.
- Report number
- IFT-P--29/88
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 20038243
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACTION INTEGRAL; CAUSALITY; EINSTEIN FIELD EQUATIONS; GRAVITATION; METRICS; QUANTIZATION; SPACE-TIME; SYMMETRY; UNIVERSE; VACUUM STATES
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; INTEGRALS