Robertson–Walker and generalized Robertson–Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains. We show that Twisted manifolds may still be characterized by the existence of such (unique) vector field, with no other constrain. Twisted manifolds generalize RW and GRW spacetimes by admitting a scale function that depends both on time and space. We obtain the Ricci tensor, corresponding to the stress–energy tensor of an imperfect fluid.
Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors / C.A. Mantica, L.G. Molinari. - In: GENERAL RELATIVITY AND GRAVITATION. - ISSN 0001-7701. - 49:4(2017), pp. 51.1-51.7. [10.1007/s10714-017-2211-1]
Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors
C.A. Mantica;L.G. Molinari
2017
Abstract
Robertson–Walker and generalized Robertson–Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains. We show that Twisted manifolds may still be characterized by the existence of such (unique) vector field, with no other constrain. Twisted manifolds generalize RW and GRW spacetimes by admitting a scale function that depends both on time and space. We obtain the Ricci tensor, corresponding to the stress–energy tensor of an imperfect fluid.File | Dimensione | Formato | |
---|---|---|---|
Twisted_1612.06715.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
123.38 kB
Formato
Adobe PDF
|
123.38 kB | Adobe PDF | Visualizza/Apri |
10.1007%2Fs10714-017-2211-1.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
393.72 kB
Formato
Adobe PDF
|
393.72 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.