CLOSED BKS-TYPE UNIVERSES AND DIRAC SPIN EFFECT IN THE RAINBOW GRAVITY

Year 2023, Volume: 9 Issue: 1, 23 - 30, 26.06.2023

Sibel Korunur

https://doi.org/10.51477/mejs.1279536

Abstract

The result related to astrophysical datasets suggest that our universe has recently entered a phase of accelerated expansion. This accelerated expansion is not a situation predicted by the general theory of relativity. Therefore, the emergence of alternative approaches to general relativity has become inevitable. Modifying general relativity and absolute parallelism theory are just two of these theories. In addition, with the discovery of gravitational waves, the need for a view that includes gravitational quantum contributions arose. In this context, rainbow gravity has an approach that also offers quantum contributions to the theory of general relativity and absolute parallelism. In this study, axial vector torsion is calculated for BKS-type universe models using the rainbow gravity formalism. With the calculations made, the vector part and axial vector part components of the torsion tensor are obtained. The spin process, which contributes to the Dirac particles, is also investigated using the rainbow gravitational theory. However, since the obtained axial vector fragment is in time-like form, it is concluded that the spin vector of the Dirac particle is constant. The axial part of the torsion tensor for general BKS-type universe models is calculated and presented in a table for some well-known rainbow functions.

Keywords

Absolute parallelism, rainbow gravity, BKS-type universes

References

• Hayashi, K. and Shirafuji, T., "New general relativity", Phys. Rev. D, 19, 3524, 1979.
• Audretsch, J., “Dirac electron in space-times with torsion: Spinor propagation, spin precession, and nongeodesic orbits”, Physical Review D, 24(6), 1470, 1981.
• Hehl, F. W., “How does one measure torsion of space-time?”, Physics Letters A, 36(3), 225-226, 1971.
• Nitsch, J. and Hehl, F. W., “Translational gauge theory of gravity: Post-Newtonian approximation and spin precession”, Physics Letters B, 90(1-2), 98-102, 1980.
• De Andrade, V. C. and Pereira, J. G., “Gravitational Lorentz force and the description of the gravitational interaction”, Physical Review D, 56(8), 4689 (1997).
• Maluf, J. W. and da Rocha-Neto, J. F., “General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry”, General Relativity and Gravitation, 31(2), 173-185, 1999.
• Magueijo, J. and Smolin, L., “Generalized Lorentz invariance with an invariant energy scale”, Physical Review D, 67, 044017, 2003.
• Magueijo, J. and Smolin, L., “Gravity's rainbow”, Classical and. Quantum Gravity, 21, 1725, 2004.
• Gim, Y., and Gwak, B., “Charged black hole in gravity's rainbow: Violation of weak cosmic censorship”, Physics Letters B, 794, 122, 2019.
• Dehghani, M., “AdS4 black holes with nonlinear source in rainbow gravity”, Physics Letters B, 801, 135191, 2020.
• Dehghani, M., “Thermodynamics of charged dilatonic BTZ black holes in rainbow gravity”, Physics Letters B, 777, 351, 2018.
• Dehghani, M., “Thermal fluctuations of AdS black holes in three-dimensional rainbow gravity”, Physics Letters B, 793, 234, 2019.
• Yekta, D. M., Hadikhani, A. and Ökcü, Ö., “Joule-Thomson expansion of charged AdS black holes in Rainbow gravity”, Physics Letters B, 795, 521, 2019.
• Dehghani, M., “Thermodynamic properties of novel dilatonic BTZ black holes under the influence of rainbow gravity”, Physics Letters B, 799, 135037, 2019.
• Gangopadhyay, S. and Dutta, A., “Constraints on rainbow gravity functions from black-hole thermodynamics”, Europhysics Letters, 115(5), 50005, 2016.
• Hamil, B. and Lütfüoğlu, B. C., “Effect of Snyder–de Sitter Model on the black hole thermodynamics in the context of rainbow gravity”, International Journal of Geometric Methods in Modern Physics, 19(03), 2250047, 2022.
• Dehghani, M. and Setare, M. R., “Exponentially charged dilaton black holes in rainbow gravity”, International Journal of Geometric Methods in Modern Physics, 18(04), 2150063, 2021.
• Sogut, K., Salti, M. and Aydogdu, O., “Quantum dynamics of photon in rainbow gravity”, Annals of Physics, 431, 168556, 2021.
• Kangal, E. E., Salti, M., Aydogdu, O., and Sogut, K., “Relativistic quantum dynamics of scalar particles in the rainbow formalism of gravity”, Physica Scripta, 96(9), 095301, 2021.
• Kangal, E. E., Sogut, K., Salti, M. and Aydogdu, O., “Effective dynamics of spin-1/2 particles in a rainbow universe”, Annals of Physics, 444, 169018, 2022.
• Shahjalal, Md, “Phase transition of quantum-corrected Schwarzschild black hole in rainbow gravity”, Physics Letters B, 784, 6, 2018.
• Dárlla, R., Brito, F. A. and Furtado, J., “Black String solutions in Rainbow Gravity”, arXiv preprint arXiv:2301.03921. (2023).
• Peng, J. J. and Wu, S. Q., “Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory”, General Relativity and Gravitation, 40, 2619, 2008.
• Cardall, C. Y. and Fuller, G. M., “Neutrino oscillations in curved space-time: A heuristic treatment”, Physical Review D, 55(12), 7960 1997.
• Nitsch, J. and Hehl, F. W., “ Translational gauge theory of gravity: Post-Newtonian approximation and spin precession”, Physics Letters B, 90(1-2), 98-102, 1980.
• McCallum M. A. H., In General Relativity : An Einstein Centenary Survey, S.W. Hawking and W. Israel, eds., Cambridge Univ. Press, Cambridge, 1979.
• Bianchi, L., “On the three-dimensional spaces which admit a continuous group of motions”, Memorie di Matematica e di Fisica della Società Italiana delle Scienze, 11, 267-352 (1898).
• Fagundes, H. V., “Closed spaces in cosmology”, General Relativity and Gravitation, 24, 199-217, 1992.
• Weitzenböck, R., Invarianten Theorie, Noordhoff, Groningen, 1923.
• Hendi S.H., et al., “Charged dilatonic black holes in gravity’s rainbow”, Eur. Phys. J. C 76, 1-15, 2016.
• Feng, Z. W., and Yang, S. Z., “Thermodynamic phase transition of a black hole in rainbow gravity”, Physics Letters B, 772, 737-742, 2017.
• Leiva, C., Saavedra, J. and Villanueva, J., “Geodesic structure of the Schwarzschild black hole in rainbow gravity”, Modern Physics Letters A, 24(18), 1443-1451, 2009.
• Pereira, J. G., Vargas, T. and Zhang, C. M., “Axial-vector torsion and the teleparallel Kerr space-time”, Classical and Quantum Gravity, 18(5), 833, 2001.
• Korunur, M., Saltı, M., and Aydogdu, O., “An axially symmetric scalar field and teleparallelism”, The European Physical Journal C, 50(1), 101-107, 2007.
• Korunur, M., Salti, M. and Acikgoz, I., “Finding Dirac spin effect in NUT space-time”, Communications in Theoretical Physics, 53(5), 864, 2010.
• Korunur, M., “A non-diagonal singularity-free model in torsion gravity”, Central European Journal of Physics, 10, 846-849, 2012.