Time-dependent compactification to de Sitter space: a no-go theorem
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Russo, JG
Townsend, PK
Abstract
It is known that the Einstein gravitational field equations in D > 4 spacetime dimensions have no time-independent non-singular compactification solutions to de Sitter space if the D-dimensional stress tensor satisfies the Strong Energy Condition (SEC). Here we show, by example, that the SEC alone does not exclude time-dependent non-singular compactifications to de Sitter space, in Einstein conformal frame. However, this possibility is excluded by the combined SEC and Dominant Energy Condition (DEC) because the DEC forces a time-evolution towards a singular D-metric.
Description
Keywords
Classical Theories of Gravity, Spacetime Singularities, Supergravity Models, Energy conditions
Journal Title
Journal of High Energy Physics
Conference Name
Journal ISSN
1126-6708
1029-8479
1029-8479
Volume Title
2019
Publisher
Springer
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
JGR acknowledges financial support from projects 2017-SGR-929, MINECO grant
FPA2016-76005-C. PKT is is partially supported by the STFC consolidated grant
ST/P000681/1