Repository logo
 

Time-dependent compactification to de Sitter space: a no-go theorem

Published version
Peer-reviewed

Type

Article

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

Volume Title

2019

Publisher

Springer
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