Abstract
The DGP brane world model allows us to get the observed late time acceleration via modified gravity, without the need for a “dark energy” field. This can then be generalised by the inclusion of high energy terms, in the form of a Gauss-Bonnet bulk. This is the basis of the Gauss-Bonnet-Induced-Gravity (GBIG) model explored here with both early and late time modifications to the cosmological evolution. Recently the simplest GBIG models (Minkowski bulk and no brane tension) have been analysed. Two of the three possible branches in these models start with a finite density “Big-Bang” and with late time acceleration. Here we present a comprehensive analysis of more general models where we include a bulk cosmological constant and brane tension. We show that by including these factors it is possible to have late time phantom behaviour.
Similar content being viewed by others
References
Dvali G.R., Gabadadze G., Porrati M. (2000): 4D gravity on a brane in 5D Minkowski space. Phys. Lett. B 485: 208 [arXiv:hep-th/0005016]
Deffayet C. (2001): Cosmology on a brane in Minkowski bulk. Phys. Lett. B 502: 199, [arXiv:hep-th/0010186]
Mavromatos N.E., Papantonopoulos E. (2006): Induced curvature in brane worlds by surface terms in string effective actions with higher-curvature corrections. Phys. Rev. D 73: 026001 [arXiv:hep-th/0503243]
Gorbunov D., Koyama K., Sibiryakov S. (2006): More on ghosts in DGP model. Phys. Rev. D 73: 044016 [arXiv:hep-th/0512097]
Kim, J.E., Kyae, B., Lee, H.M.: Various modified solutions of the Randall-Sundrum model with the Gauss-Bonnet interaction. Nucl. Phys. B 582 (2000) 296 [Erratum-ibid. B 591 (2000) 587] [arXiv:hep-th/0004005]
Cho Y.M., Neupane I.P. (2003): Warped brane-world compactification, black hole thermodynamics and holographic cosmology with R**2 terms. Int. J. Mod. Phys. A 18: 2703 [arXiv:hep-th/0112227]
Charmousis C., Dufaux J.F. (2002): General Gauss-Bonnet brane cosmology. Class. Quant. Grav. 19: 4671 [arXiv:hep-th/0202107]
Nojiri S., Odintsov S.D., Ogushi S. (2002): Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole. Int. J. Mod. Phys. A 17: 4809 [arXiv:hep-th/0205187]
Davis S.C. (2003): Generalised Israel junction conditions for a Gauss-Bonnet brane world. Phys. Rev. D 67: 024030 [arXiv:hep-th/0208205]
Gravanis E., Willison S. (2003): Israel conditions for the Gauss-Bonnet theory and the Friedmann equation on the brane universe. Phys. Lett. B 562, 118 [arXiv:hep-th/0209076]
Lidsey J.E., Nunes N.J. (2003): Inflation in Gauss-Bonnet brane cosmology. Phys. Rev. D 67, 103510 [arXiv:astro-ph/0303168]
Maeda K.I., Torii T. (2004): Covariant gravitational equations on brane world with Gauss-Bonnet term. Phys. Rev. D 69, 024002 [arXiv:hep-th/0309152]
Sami M., Sahni V. (2004): Quintessential inflation on the brane and the relic gravity wave Background. Phys. Rev. D 70: 083513 [arXiv:hep-th/0402086]
Tsujikawa S., Sami M., Maartens R. (2004): Observational constraints on braneworld inflation: The effect of a Gauss-Bonnet term. Phys. Rev. D 70: 063525 [arXiv:astro-ph/0406078]
Nojiri S., Odintsov S.D. (2005): Is brane cosmology predictable?. Gen. Relat. Gravity 37: 1419 [arXiv:hep-th/0409244]
Rizzo T.G. (2005): Warped phenomenology of higher-derivative gravity. JHEP 0501: 028 [arXiv:hep-ph/0412087]
Randall L., Sundrum R. (1999): An alternative to compactification. Phys. Rev. Lett. 83: 4690 [arXiv:hep-th/9906064]
Kiritsis E., Tetradis N., Tomaras T.N. (2002): Induced gravity on RS branes. JHEP 0203: 019 [arXiv:hep-th/0202037]
Tanaka T. (2004): Weak gravity in DGP braneworld model. Phys. Rev. D 69: 024001 [arXiv:gr-qc/0305031]
Papantonopoulos E., Zamarias V. (2004): Chaotic inflation on the brane with induced gravity. JCAP 0410: 001 [arXiv:gr-qc/0403090]
Kofinas G., Maartens R., Papantonopoulos E. (2003): Brane cosmology with curvature corrections. JHEP 0310: 066 [arXiv:hep-th/0307138]
Cai R.G., Zhang H.S., Wang A. (2005): Crossing w = −1 in Gauss-Bonnet brane world with induced gravity. Commun. Theor. Phys. 44: 948 [arXiv:hep-th/0505186]
Brown R.A., Maartens R., Papantonopoulos E., Zamarias V. (2005): A late-accelerating universe with no dark energy - and a finite-temperature big bang. JCAP 0511: 008 [arXiv:gr-qc/0508116]
Davis S.C. (2005): Modified large distance Newton potential on a Gauss-Bonnet brane world. Phys. Rev. D 72, 024026 [arXiv:hep-th/0410065]
Dufaux J.F., Lidsey J.E., Maartens R., Sami M. (2004): Cosmological perturbations from brane inflation with a Gauss-Bonnet term. Phys. Rev. D 70: 083525 [arXiv:hep-th/0404161]
Shtanov Y., Sahni V. (2002): Unusual cosmological singularities in braneworld models. Class. Quant. Grav. 19: L101 [arXiv:gr-qc/0204040]
Sahni V., Shtanov Y. (2005): Did the Universe loiter at high redshifts ?. Phys. Rev. D 71: 084018 [arXiv:astro-ph/0410221]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Brown, R.A. Brane universes with Gauss-Bonnet-induced-gravity. Gen Relativ Gravit 39, 477–500 (2007). https://doi.org/10.1007/s10714-007-0398-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-007-0398-2