Abstract
Within our thick brane approach previously used to obtain the cosmological evolution equations on a thick brane embedded in a five-dimensional Schwarzschild Anti-de Sitter spacetime it is explicitly shown that the consistency of these equations with the energy conservation equation requires that, in general, the thickness of the brane evolves in time. This varying brane thickness entails the possibility that both Newton’s gravitational constant G and the effective cosmological constant Λ4 are time dependent.
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References
Binétruy, P., Deffayet, C., Langlois, D.: Nucl. Phys. B 565, 269 (2000) [arXiv:hep-th/9905012]
Mounaix, P., Langlois, D.: Phys. Rev. D 65, 103523 (2002)
Binétruy, P., Deffayet, C., Ellwanger, U., Langlois, D.: Phys. Lett. B 477, 285 (2000) [arXiv:hep-th/9910219]
Ida, D.: JHEP 0009, 014 (2000) [arXiv:gr-qc/9912002]
Navarro, I., Santiago, J.: JCAP 0603, 015 (2006) [arXiv:hep-th/0505156]
Poncede Leon, J.: Class. Quant. Grav. 20, 5321 (2003) [arXiv:gr-qc/0305041]
Nath, S., Chakraborty, S., Debnath, U.:[arXiv:gr-qc/0411111]
Ghassemi, S., Khakshournia, S., Mansouri, R.: JHEP 08, 019 (2006) [arXiv:gr-qc0605094]
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Khakshournia, S. A note on the generalized Friedmann equations for a thick brane. Gen Relativ Gravit 40, 1791–1796 (2008). https://doi.org/10.1007/s10714-007-0578-0
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DOI: https://doi.org/10.1007/s10714-007-0578-0