REVERSE-ENGINEERED DBI-ESSENCE FIELD IN THE RAINBOW GRAVITY

Year 2022, Volume: 8 Issue: 1, 26 - 33, 17.06.2022

Fatma Figen Binbay

https://doi.org/10.51477/mejs.1109190

Abstract

The current astrophysical data sets have implied that our universe has recently entered in an accelerated expansion phase. In literature, it is commonly thought that the late-time speedy enlargement behaviour is caused by mysterious dark contents (dark matter, dark energy and dark radiation) that cannot be observed directly. Although Einstein's General Theory of Relativity has provided very successful theoretical explanations and predictions, it cannot explain the aforementioned unusual nature of the cosmos. This situation has led scientists to try to create a new theoretical model for the nature of dark contents. The cosmological constant, scalar fields, unified energy densities, additional dimension idea and modified gravity theories are among the prominent point of views. In this research, mainly, the reverse-engineering method is taken into account in the rainbow gravity formalism for the DBI-essence scalar field dark energy model. As it is known, scalar field models can be introduced with the help of some fundamental physics theories, but these theories do not provide a direct way to write explicitly the self-interaction potentials that we encounter in scalar field models. Therefore, the reverse-engineering method used in this research takes significant role while writing the self-interaction potential of a scalar field model.

Keywords

Cosmology, Quantum Gravity, Scalar Field, DBI-essence.

References

• Bennet, C.L., et al., “First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results”, The Astrophysicsl Journal (Supplement) 148, 1, 2003.
• Tegmark, M., et al., “Cosmological parameters from SDSS and WMAP”, Physical Review D, 69, 103501, 2004.
• Perlmutter, S., et al., “Measurements of W and L from 42 High-Redshift Supernovae”, The Astrophysicsl Journal (Supplement) 517, 2, 1999.
• Ade, P.A.R., et al., “Planck 2013 results. XVI. Cosmological parameters”, Astronomy and Astrophysics, 571, A16, 2014.
• Einstein, A., “Zur Allgemeinen Relativitätstheorie”, Sitzungsber. Preus. Akad. Wiss. Berlin (Math. Phys.), 47, 778-786, 1915.
• Sotiriou, T.P. and Faraoni, V., “f(R) theories of gravity”, Review of Modern Physics, 82, 451, 2010.
• Hehl, F.W., Von Der Heyde, P., Kerlick, G.D. and Nester, J.M., 1976, “General relativity with spin and torsion: Foundations and prospects”, Review of Modern Physics, 48, 393, 1976.
• Mikhail, M.I. and Wanas, M.I., “A generalized field theory. 1. Field equations”, Proceedings of Royal Society London Ser. A, The Journal of Mathematical Physics 356, 471, 1977.
• Copeland, E.J., Sami, M. and Tsujikawa, S., “Dynamics of dark energy”, International Journal of Modern Physics D, 15, 1753,2006.
• Pasqua, A., Khodam-Mohammadi, A., Jamil, M. and Myrzakulov, R., “Interacting Ricci Dark Energy with Logarithmic Correction”. Astrophysics Space Science, 340, 199. 2012.
• Jamil, M., Karami, K. ve Sheykhi, A., “Restoring New Agegraphic Dark Energy in RS II Braneworld”, International Journal of Theoretical Physics, 50, 3069, 2011.
• Sheykhi, A. and Bagheri, A., “Quintessence Ghost Dark Energy Model”. Europhysics Letters, 95, 39000, 2011.
• Sheykhi, A., Movahed, M.S. and Ebrahimi, E., “Tachyon Reconstruction of Ghost Dark Energy”, Astrophysics and Space Science, 339, 93. 2012
• M. Salti, H. Yanar, O. Aydogdu and K. Sogut, “Dynamics of ghost scalar fields in Kaluza–Klein cosmology”, Astrophysics and Space Science 362, 207, 2017.
• Ebrahimi, E. and Sheykhi, A., “Scalar field reconstruction of power-law entropy-corrected holographic dark energy”, Physica Scripta. 04, 045016, 2011.
• Veneziano, G.,“U(1) without instantons”, Nucleer Physics B 159, 213, 1979.
• Padmanabhan, T.,“ Cosmological Constant - the Weight of the Vacuum”, Physics Reports, 380, 235,2003.
• Cai, Y.F., Saridakis, E.N., Setare, M.R. and Xia, J.Q., “Quantum Cosmology: Theoretical implications and observations”, Physics Reports, 493, 1,2010.
• Abbott, B.P., et al., (LIGO Scientific Collaboration and Virgo Collaboration), “Observation of Gravitational Waves from a Binary Black Hole Merger”, Physical Review Letters, 116, 061102, 2016.
• Kiefer, C., Quantum Gravity, 2nd edition, Oxford University Press, Oxford, 2007.
• Carlip, S., “Quantum gravity: a progress report”, Reports on Progress in Physics, 64, 885, 2001.
• Magueijo, J. and Smolin, L., “Gravity's rainbow”, Classical and. Quantum Gravity, 21, 1725, 2004,
• Magueijo, J. and Smolin, L., “Generalized Lorentz invariance with an invariant energy scale”, Physical Review D, 67, 044017,2003.
• Ashour, A, Alcheikh, M. and Chamoun, N., “General modified Friedmann equations in Rainbow flat universe, by thermodynamics”, European Physical Journal C, 79, 127, 2019.
• Ling, Y., Li, X. and Zhang, H., “Thermodynamics of Modified Black Holes From Gravity's Rainbow”, Modern Physics Letters A, 22, 2749,2007.
• Leiva, C., Saavedra, J. and Villanueva, J., “Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity”, Modern Physics Letters A, 24, 1443,2009.
• Liu, C.Z. and Zhu, J.Y., “Hawking radiation and black hole entropy in a gravity’s rainbow”, General Relativity and Gravitation, 40, 1899, 2008.