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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G.W. Gibbons, Aspects of supergravity theories, in Supersymmetry, Supergravity and Related Topics, F. Aguila et al. eds., World Scientific, Singapore (1985).
G.W. Gibbons, Thoughts on tachyon cosmology, Class. Quant. Grav. 20 (2003) S321 [hep-th/0301117] [INSPIRE].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, De Sitter space and the swampland, arXiv:1806.08362 [INSPIRE].
J.G. Russo and P.K. Townsend, Late-time cosmic acceleration from compactification, Class. Quant. Grav. 36 (2019) 095008 [arXiv:1811.03660] [INSPIRE].
P.K. Townsend, Cosmic acceleration and M-theory, in the proceedings of the 14th International Congress on Mathematical Physics (ICMP2003), July 28–August 2, Lisbon, Portugal (2003), hep-th/0308149 [INSPIRE].
E. Teo, A no-go theorem for accelerating cosmologies from M-theory compactifications, Phys. Lett. B 609 (2005) 181 [hep-th/0412164] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1904.11967
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Russo, J.G., Townsend, P.K. Time-dependent compactification to de Sitter space: a no-go theorem. J. High Energ. Phys. 2019, 97 (2019). https://doi.org/10.1007/JHEP06(2019)097
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2019)097