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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Vertical stability of circular orbits in relativistic razor-thin disks

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Autor(es):
Vieira, Ronaldo S. S. ; Ramos-Caro, Javier ; Saa, Alberto
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Physical Review D; v. 94, n. 10 NOV 7 2016.
Citações Web of Science: 5
Resumo

During the last few decades, there has been a growing interest in exact solutions of Einstein equations describing razor-thin disks. Despite the progress in this area, the analytical study of geodesic motion crossing the disk plane in these systems has not yet been well developed. In the present work, we propose a definite vertical stability criterion for circular equatorial timelike geodesics in static, axially symmetric thin disks, possibly surrounded by other structures preserving axial symmetry. It turns out that the strong energy condition for the disk stress-energy content is sufficient for the vertical stability of these orbits. Moreover, adiabatic invariance of the vertical action variable gives us an approximate third integral of motion for oblique orbits that deviate slightly from the equatorial plane. This new approximate third integral certainly points to a better understanding of the analytical properties of these orbits. The results presented here, derived for static spacetimes, may be a starting point to study the motion around rotating, stationary razor-thin disks. Our results also allow us to conjecture that the strong energy condition should be sufficient to assure transversal stability of periodic orbits for any singular timelike hypersurface, provided it is invariant under the geodesic flow. (AU)

Processo FAPESP: 09/16304-3 - Modelos posnewtonianos de sistemas autogravitantes
Beneficiário:Javier Fernando Ramos Caro
Linha de fomento: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 10/00487-9 - Estudo dinâmico de sistemas autogravitantes newtonianos e pós-newtonianos com matéria escura
Beneficiário:Ronaldo Savioli Sumé Vieira
Linha de fomento: Bolsas no Brasil - Doutorado
Processo FAPESP: 15/10577-9 - Caos e integrabilidade em discos galácticos
Beneficiário:Ronaldo Savioli Sumé Vieira
Linha de fomento: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 13/09357-9 - Física e geometria do espaço-tempo
Beneficiário:Alberto Vazquez Saa
Linha de fomento: Auxílio à Pesquisa - Temático