Abstract
We study Randall-Sundrum two brane setups with mismatched brane tensions. For the vacuum solutions, boundary conditions demand that the induced metric on each of the branes is either de Sitter, Anti-de Sitter, or Minkowski. For incompatible boundary conditions, the bulk metric is necessarily time-dependent. This introduces a new class of time-dependent solutions with the potential to address cosmological issues and provide alternatives to conventional inflationary (or contracting) scenarios. We take a first step in this paper toward such solutions. One important finding is that the resulting solutions can be very succinctly described in terms of an effective action involving only the induced metric on either one of the branes and the radion field. But the full geometry cannot necessarily be simply described with a single coordinate patch. We concentrate here on the time- dependent solutions but argue that supplemented with a brane stabilization mechanism one can potentially construct interesting cosmological models this way. This is true both with and without a brane stabilization mechanism.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
A. Almheiri, R. Mahajan, J. Maldacena and Y. Zhao, The Page curve of Hawking radiation from semiclassical geometry, JHEP 03 (2020) 149 [arXiv:1908.10996] [INSPIRE].
M. Rozali, J. Sully, M. Van Raamsdonk, C. Waddell and D. Wakeham, Information radiation in BCFT models of black holes, JHEP 05 (2020) 004 [arXiv:1910.12836] [INSPIRE].
A. Karch and L. Randall, Open and closed string interpretation of SUSY CFT’s on branes with boundaries, JHEP 06 (2001) 063 [hep-th/0105132] [INSPIRE].
A. Karch and L. Randall, Locally localized gravity, JHEP 05 (2001) 008 [hep-th/0011156] [INSPIRE].
T. Takayanagi, Holographic Dual of BCFT, Phys. Rev. Lett. 107 (2011) 101602 [arXiv:1105.5165] [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].
L. Randall, The Boundaries of KKLT, Fortsch. Phys. 68 (2020) 1900105 [arXiv:1912.06693] [INSPIRE].
S. Antonini and B. Swingle, Cosmology at the end of the world, Nature Phys. 16 (2020) 881 [arXiv:1907.06667] [INSPIRE].
S. Banerjee, U. Danielsson, G. Dibitetto, S. Giri and M. Schillo, Emergent de Sitter Cosmology from Decaying Anti-de Sitter Space, Phys. Rev. Lett. 121 (2018) 261301 [arXiv:1807.01570] [INSPIRE].
S. Banerjee, U. Danielsson, G. Dibitetto, S. Giri and M. Schillo, de Sitter Cosmology on an expanding bubble, JHEP 10 (2019) 164 [arXiv:1907.04268] [INSPIRE].
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111] [INSPIRE].
O. DeWolfe, D.Z. Freedman, S.S. Gubser and A. Karch, Modeling the fifth-dimension with scalars and gravity, Phys. Rev. D 62 (2000) 046008 [hep-th/9909134] [INSPIRE].
N. Kaloper, Bent domain walls as brane worlds, Phys. Rev. D 60 (1999) 123506 [hep-th/9905210] [INSPIRE].
H.B. Kim and H.D. Kim, Inflation and gauge hierarchy in Randall-Sundrum compactification, Phys. Rev. D 61 (2000) 064003 [hep-th/9909053] [INSPIRE].
T. Nihei, Inflation in the five-dimensional universe with an orbifold extra dimension, Phys. Lett. B 465 (1999) 81 [hep-ph/9905487] [INSPIRE].
M. Spradlin, A. Strominger and A. Volovich, Les Houches lectures on de Sitter space, in Les Houches Summer School: Session 76: Euro Summer School on Unity of Fundamental Physics: Gravity, Gauge Theory and Strings, pp. 423–453 (2001) [hep-th/0110007] [INSPIRE].
Z. Chacko, R.K. Mishra and D. Stolarski, Dynamics of a Stabilized Radion and Duality, JHEP 09 (2013) 121 [arXiv:1304.1795] [INSPIRE].
I. Quiros, Selected topics in scalar-tensor theories and beyond, Int. J. Mod. Phys. D 28 (2019) 1930012 [arXiv:1901.08690] [INSPIRE].
Z. Chacko and P.J. Fox, Wave function of the radion in the dS and AdS brane worlds, Phys. Rev. D 64 (2001) 024015 [hep-th/0102023] [INSPIRE].
P. Kraus, Dynamics of anti-de Sitter domain walls, JHEP 12 (1999) 011 [hep-th/9910149] [INSPIRE].
W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [INSPIRE].
P. Creminelli, A. Nicolis and R. Rattazzi, Holography and the electroweak phase transition, JHEP 03 (2002) 051 [hep-th/0107141] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2006.10061
Rights and permissions
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.
About this article
Cite this article
Karch, A., Randall, L. Geometries with mismatched branes. J. High Energ. Phys. 2020, 166 (2020). https://doi.org/10.1007/JHEP09(2020)166
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2020)166