Автор |
Carlos F Sopuertasica |
Дата выпуска |
1998-04-01 |
dc.description |
Some years ago, it was conjectured that general relativistic shear-free perfect fluids, with a barotropic equation of state such that , must be either expansion-free or irrotational. In this paper we present a fully covariant approach to this conjecture by using the so-called hydrodynamical formalism. We discuss the role of the variables and equations and the procedure for using them in a profitable way. We illustrate the method by giving the proof of the conjecture in two particular cases: (i) when the expansion and the energy density are functionally dependent, i.e. the case studied previously by Lang and Collins using the tetrad formalism; and (ii) when the expansion and the rotation scalar are functionally dependent, a case not treated hitherto. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Covariant study of a conjecture on shear-free barotropic perfect fluids |
Тип |
paper |
DOI |
10.1088/0264-9381/15/4/024 |
Electronic ISSN |
1361-6382 |
Print ISSN |
0264-9381 |
Журнал |
Classical and Quantum Gravity |
Том |
15 |
Первая страница |
1043 |
Последняя страница |
1062 |
Аффилиация |
Carlos F Sopuertasica; Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain |
Выпуск |
4 |