Journals / International Journal of Pure and Applied Sciences / 2026 / Volume: 12 Issue: 1

Energy density in Rainbow Gravity: Levi-Civita Model

Pages
—
Publication Date
2026-06-22
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The findings reveal that as the test particle’s energy increases, the energy density rises in the Einstein and Landau-Lifshitz prescriptions, while it decreases in the Bergmann-Thomson formulation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the energy density for the Levi-Civita space-time is analyzed within the framework of Rainbow Gravity Theory (RGT).
📊
Key Findings & Data:The findings reveal that as the test particle’s energy increases, the energy density rises in the Einstein and Landau-Lifshitz prescriptions, while it decreases in the Bergmann-Thomson formulation.
💡
Conclusion & Impact:The study contributes to the literature exploring the influence of alternative gravitational theories on energy-momentum distributions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Rainbow Gravity · energy-momentum · localization

Abstract

In this study, the energy density for the Levi-Civita space-time is analyzed within the framework of Rainbow Gravity Theory (RGT). RGT is a theoretical approach that assumes the geometry of space-time depends on the energy of the test particle, offering a promising perspective in the quest for quantum gravity. Energy densities are calculated using the Einstein, Bergmann-Thomson, and Landau-Lifshitz energy-momentum prescriptions and compared with the results obtained from General Relativity. The findings reveal that as the test particle’s energy increases, the energy density rises in the Einstein and Landau-Lifshitz prescriptions, while it decreases in the Bergmann-Thomson formulation. This highlights how the problem of energy localization varies across different energy-momentum definitions and demonstrates the impact of RGT on energy distribution. The study contributes to the literature exploring the influence of alternative gravitational theories on energy-momentum distributions.

🔖

Cite This Article

Korunur, S., Korunur, M. (2026). Energy density in Rainbow Gravity: Levi-Civita Model. International Journal of Pure and Applied Sciences, Volume: 12 Issue: 1. https://doi.org/10.29132/ijpas.1745247

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (26)

  1. A. Einstein, “Die Feldgleichungen der Gravitation,” Sitzungsberichte der Preußischen Akademie der Wissenschaften zu Berlin, 1915, pp. 844–847.
  2. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, vol.2, 4th ed., Oxford: Pergamon Press, 1975.
  3. A. Papapetrou, “Einstein’s theory of gravitation and flat space,” Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, vol.52, pp. 11–23, 1948.
  4. P. G. Bergmann and R. Thomson, “Spin and angular momentum in general relativity,” Physical Review, vol.89, no.2, pp. 400–407, 1953. DOI: https://doi.org/10.1103/PhysRev.89.400
  5. C. Møller, “On the localization of the energy of a physical system in the general theory of relativity,” Annals of Physics, vol. 4, no. 4, pp. 347–371, 1958. https://doi.org/10.1016/0003-4916(58)90053-8
  6. S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, New York: John Wiley & Sons, 1972.
  7. G. Lessner, “Møller’s energy-momentum complex—once again,” General Relativity and Gravitation, vol. 28, no. 5, pp. 527–529, 1996. https://doi.org/10.1007/BF02105063
  8. K. S. Virbhadra, “Energy associated with a Kerr–Newman black hole,” Physical Review D, vol. 41, no. 4, pp. 1086–1090, 1990. DOI:10.1103/PhysRevD.41.1086
  9. K. S. Virbhadra, “Naked singularities and Seifert’s conjecture,” Physical Review D, vol. 60, no. 10, 104041, 1999. DOI: https://doi.org/10.1103/PhysRevD.60.104041
  10. S. S. Xulu. “Møller energy of the nonstatic spherically symmetric space-time,” Astrophysics and Space Science, vol. 283, no. 1, pp. 23-32, 2003. https://doi.org/10.1023/A:1021252824061
  11. M. Salti and A. Havare, “Energy-momentum in viscous Kasner-type universe in Bergmann-Thomson formulations,” International Journal of Modern Physics A, vol. 20, no. 9, pp. 2169–2176, 2005. https://doi.org/10.1142/S0217751X05020926
  12. O. Aydogdu and M. Salti, “Energy density associated with the Bianchi type-II space-time,” Progress of Theoretical Physics, vol. 115, no. 1, pp. 63–72, 2006. https://doi.org/10.1143/PTP.115.63
  13. O. Aydogdu, M. Salti, M. Korunur, and I. Acikgoz, “Energy associated with the Gibbons-Maeda dilaton spacetime,” Foundations of Physics Letters, vol. 19, no. 7, pp. 709–721, 2006. DOI: 10.1007/s10702-006-1059-5
  14. S. Aygün, M. Aygün, and I. Tarhan, “Energy-momentum localization in Marder space-time,” Pramana - J Phys, vol. 68, pp. 21–30, 2007. DOI:10.1007/s12043-007-0002-z
  15. M. J. Amir, S. Ali, and T. Ismaeel, “Energy-momentum distribution of non-static plane symmetric spacetimes in general relativity and teleparallel theory,” Chinese Journal of Physics, vol. 50, no. 1, pp. 14–27, 2012.
  16. J. Magueijo and L. Smolin “Gravity’s Rainbow”, Classical and Quantum Gravity, vol. 21, no. 7, pp. 1725–1736, 2004. https://doi.org/10.1088/0264-9381/21/7/001
  17. M. Korunur and S. Korunur, “Energy–Momentum Localization in Rainbow Gravity,” Modern Physics Letters A, vol. 38, 2350143, 2023. https://doi.org/10.1142/S0217732323501432
  18. M. Korunur and S. Korunur, “Energy–Momentum Distributions of Cylindrical Black Hole in Rainbow Gravity,” International Journal of Geometric Methods in Modern Physics, vol. 21, no.06, pp. 1723457, 2023. DOI:10.1142/S0219887824501184
  19. T. Levi-Civita, “ds² einsteiniani in campi newtoniani,” Rendiconti della Accademia dei Lincei, vol. 28, pp. 101–109, 1919.
  20. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt, Exact Solutions of Einstein’s Field Equations, 2nd ed., Cambridge: Cambridge University Press, 2003.
  21. Y. Ling, X. Li, and H. Zhang, “Thermodynamics of modified black holes from gravity's rainbow,” Modern Physics Letters A, vol. 22, no. 36, pp. 2749–2756, 2007. https://doi.org/10.1142/S0217732307022931
  22. C. Leiva, J. Saavedra, and J. Villanueva, “Geodesic structure of the Schwarzschild black hole in rainbow gravity,” Modern Physics Letters A, vol. 24, no. 18, pp. 1443–1451, 2009. https://doi.org/10.1142/S0217732309029983
  23. C. Z. Liu and J. Y. Zhu, “Hawking radiation and black hole entropy in a gravity’s rainbow,” General Relativity and Gravitation, vol. 40, no. 9, pp. 1899–1904, 2008. DOI:10.1007/s10714-008-0607-7
  24. S. H. Hendi, M. Faizal, B. E. Panah, and S. Panahiyan, “Charged dilatonic black holes in gravity’s rainbow,” The European Physical Journal C, vol. 76, no. 5, pp. 296–304, 2016. DOI 10.1140/epjc/s10052-016-4119-4
  25. Z. W. Feng and S. Z. Yang, “Thermodynamic phase transition of a black hole in rainbow gravity,” Physics Letters B, vol. 772, pp. 737–741, 2017. http://dx.doi.org/10.1016/j.physletb.2017.07.057
  26. Z. Amirabi, M. Halilsoy, and S. H. Mazharimousavi, “Thin-shell wormholes in rainbow gravity,” Modern Physics Letters A, vol. 33, no. 9, pp. 1850049, 2018. https://doi.org/10.1142/S0217732318500499