ON SIGNATURE TRANSITION IN ROBERTSON–WALKER COSMOLOGIES
2000 ◽
Vol 15
(10)
◽
pp. 1521-1531
◽
Keyword(s):
We analyze a classical model of gravitation coupled to a self-interacting scalar field. We show that, within the context of this model for Robertson–Walker cosmologies, there exist solutions in the spatially non-flat cases exhibiting transitions from a Euclidean to a Lorentzian space–time. We then discuss the conditions under which these signature changing solutions to Einstein's field equations exist. In particular, we find that an upper bound for the cosmological constant exists and that close to the signature changing hypersurface, both the scale factor and the scalar field have to be constant. Moreover we find that the signature changing solutions do not exist when the scalar field is massless.
2019 ◽
Vol 16
(03)
◽
pp. 1950042
◽
2015 ◽
Vol 70
(11)
◽
pp. 905-911
◽
2005 ◽
Vol 14
(08)
◽
pp. 1365-1372
◽
1997 ◽
Vol 38
(11)
◽
pp. 5854-5877
◽
2018 ◽
Vol 27
(04)
◽
pp. 1850045
2021 ◽
pp. 2150209
2003 ◽
Vol 12
(09)
◽
pp. 1603-1613
Keyword(s):
1986 ◽
Vol 3
(1)
◽
pp. 101-117
◽