Abstract
We obtain a novel model of oscillating non-singular cosmology on the spatially flat Randall–Sundrum (RS) II brane. At early times, the universe is dominated by a scalar field with an inflationary emergent potential \(V(\phi )=A(e^{B\phi }-1)^2\), A and B being constants. Interestingly, we find that such a scalar field can source a non-singular bounce, replacing the big bang on the brane. The turnaround again happens naturally on the brane dominated by a phantom dark energy [favoured by observations (Knop et al. in Astrophys J 598:102, 2003. Spergel et al. in Astrophys J Suppl 148:175, 2003. Tegmark et al. in Phys Rev D 69:103501, 2004) at late times], thus avoiding the big rip singularity and leading upto the following non-singular bounce via a contraction phase. There is a smooth non-singular transition of the brane universe through both the bounce and turnaround, leading to alternate expanding and contracting phases. This is the first model where a single braneworld of positive tension can be made to recycle as discussed in details in the concluding section.
Similar content being viewed by others
Data availibility
This is a theoretical work and does not make use of any data for arriving at our results. However, the observation supporting our analysis have been cited in each case in the manuscript.
References
Hawking, S.W.: Phys. Rev. Lett. 17, 443 (1966)
Hawking, S.W., Penrose, R.: Proc. Roy. Soc. London A314, 529 (1970)
Borde, A., Guth, A.H., Vilenkin, A.: Phys. Rev. Lett. 90, 151301 (2003)
J. Polchinski, String Theory, Vol. 2, Superstring Theory and Beyond (Cambridge University Press, 1998)
Gambini, R., Pullin, J.: A First Course in Loop Quantum Gravity. Oxford University Press (2011)
Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)
Shtanov, Y., Sahni, V.: Phys. Lett. B 557, 1 (2003)
Ashtekar, A., Pawlowski, T., Singh, P.: Phys. Rev. D 74, 084003 (2006)
Singh, P.: Class. Quantum Grav. 26, 125005 (2009)
Efstathiou, G., Gratton, S.: MNRAS Lett. 496, L91 (2020)
Vagnozzi, S., et al.: Phys. Dark Univ. 33, 100851 (2021)
Dhawan, S., Alsing, J., Vagnozzi, S.: Mon. Not. Roy. Astron. Soc. 506, L1 (2021)
R. Sengupta et al., Class. Quant. Grav. 39 105004
Ellis, G.F.R., Murugan, J., Tsagas, C.G.: Class. Quant. Grav. 21, 223 (2004)
Perlmutter, S.J., et al.: Nature 391, 51 (1998)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Zlatev, I., Wang, L., Steinhardt, P.J.: Phys. Rev. Lett. 82, 896 (1999)
Urena-L’opez, L.A., Liddle, A.: Phys. Rev. D 66, 083005 (2002)
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Debnath, U., Banerjee, A., Chakraborty, S.: Class. Quant. Grav. 21, 5609 (2004)
Caldwell, R.R.: Phys. Lett. B 545, 23 (2002)
Frampton, P., Takahashi, T.: Phys. Lett. B 557, 135 (2003)
Dvali, G., Gabadadze, G., Porrati, M.: Phys. Lett. B 485, 208 (2000)
Deffayet, C., Dvali, G., Gabadadze, G.: Phys. Rev. D 65, 044023 (2002)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
Knop, R.A., et al.: Astrophys. J. 598, 102 (2003)
Spergel, D.N., et al.: Astrophys. J. Suppl. 148, 175 (2003)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Vagnozzi, S., Loeb, A., Moresco, M.: Astrophys. J. 908, 84 (2021)
Cline, J.M., Jeon, S., Moore, G.D.: Phys. Rev. D 70, 043543 (2004)
Parker, L., Raval, A.: Phys. Rev. Lett. 86, 749 (2001)
Caldwell, R., Kamionkowski, M., Weinberg, N.: Phys. Rev. Lett. 91, 071301 (2003)
Davies, P.: Ann. Poincare Phys. Theor. 49, 297 (1988)
Sengupta, R., et al.: Phys. Rev. D 102, 024037 (2020)
Visinelli, L., Bolis, N., Vagnozzi, S.: Phys. Rev. D 97, 064039 (2018)
Vagnozzi, S., Visinelli, L.: Phys. Rev. D 100, 024020 (2019)
Alestas, G., Kazantzidis, L., Perivolaropoulos, L.: Phys. Rev. D 101, 123516 (2020)
Kanekar, N., Sahni, V., Shtanov, Y.: Phys. Rev. D 63, 083520 (2001)
Banerjee, I., Paul, T., Sengupta, S.: JCAP 02, 041 (2021)
Choudhury, S., Pal, S.: Phys. Rev. D. 85, 043529 (2012)
Sengupta, R., Paul, P., Paul, B.C., Ray, S.: Int. J. Mod. Phys. D. 28, 1941010 (2019)
Choudhury, S.: Nucl. Phys. B. 894, 29 (2015)
Ijjas, A., Steinhardt, P.J.: Phys. Lett. B 795, 666 (2019)
Acknowledgements
RS is thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for providing work facilities during a visit where this work was done. RS is thankful to the CSIR, Government of India for financial help through the CSIR-SRF Direct scheme.
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.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sengupta, R. A novel model of non-singular oscillating cosmology on flat Randall–Sundrum II braneworld. Gen Relativ Gravit 56, 42 (2024). https://doi.org/10.1007/s10714-024-03233-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-024-03233-9