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Cosmological 3-brane solutions
Open accessAbstract
Abstract We analyze cosmological equations in the brane world scenario with one extra space-like dimension. We demonstrate that the cosmological equations can be reduced to the usual 4D Friedmann type if the bulk energy-momentum tensor is different from zero. We then generalize these equations to the case of a brane of finite thickness. We also demonstrate that when the bulk energy-momentum tensor is different from zero, the extra space-like dimension can be compactified with a single brane and show that the stability of the radius of compactification implies standard cosmology and vice versa. For a brane of finite thickness, we provide a solution such that the 4D Planck scale is related to the fundamental scale by the thickness of the brane. In this case, compactification of the extra dimension is unnecessary.
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Citations
Cites
Large Mass Hierarchy from a Small Extra Dimension
Randall, L., & Sundrum, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3370 · Cited by 9,227
The hierarchy problem and new dimensions at a millimeter
Arkani–Hamed, N., Dimopoulos, S., & Dvali, G. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00466-3 · Cited by 6,563
Heterotic and Type I string dynamics from eleven dimensions
Hořava, P., & Witten, E. (1996) · Nuclear Physics B · doi:10.1016/0550-3213(95)00621-4 · Cited by 1,984
Cited by
Carroll, S. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-1 · Cited by 2,650
Quintom cosmology: Theoretical implications and observations
Cai, Y.-F., Saridakis, E. N., Setare, M. R., & Xia, J.-Q. (2010) · Physics Reports · doi:10.1016/j.physrep.2010.04.001 · Cited by 868
Universal aspects of gravity localized on thick branes
Csáki, C., Erlich, J., Hollowood, T. J., & Shirman, Y. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00271-6 · Cited by 464
Cosmological dynamics on the brane
Maartens, R. (2000) · Physical Review D · doi:10.1103/physrevd.62.084023 · Cited by 386
General brane cosmologies and their global spacetime structure
Bowcock, P., Charmousis, C., & Gregory, R. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/22/313 · Cited by 276
Metadata
- Authors
- Kanti, P., Kogan, I. I., Olive, K. A., & Pospelov, M.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1999-11
- Volume
- 468
- Issue
- 1-2
- Pages
- 31-39
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2090444019
- Cited by
- 203
- References
- 3
- FWCI
- 32.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Kanti, P., Kogan, I. I., Olive, K. A., & Pospelov, M. (1999). Cosmological 3-brane solutions. Physics Letters B. https://doi.org/10.1016/s0370-2693(99)01218-6
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
