Abstract
We estimate galaxy clustering under a modified gravitational potential. In particular, the modifications in gravitational potential energy occur due to a power-law and cosmological constant terms. We derive a canonical partition function for the system of galaxies interacting under such a modified gravitational potential. Moreover, we compute various thermodynamical equation of states for the system. We do comparative analysis in order to emphasize the effect of corrections on thermodynamics of the system. Interestingly, the modifications in thermodynamical quantities are embedded in clustering parameter only.
Similar content being viewed by others
References
Benkenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Unruh, W.G.: Phys. Rev. D 14, 870 (1976)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Verlinde, E.P.: J. High Energy Phys. 04, 029 (2011)
Capozziello, S., De Filippis, E., Salzano, V.: MNRAS 394, 947 (2009)
Floratos, E.G., Leontaris, G.K.: Phys. Lett. B 465, 95 (1999)
Sheykhi, A., Hendi, S.H.: Phys. Rev. D 84, 044023 (2011)
Das, S., Shankaranaraynan, S., Sur, S.: Phys. Rev. D 77, 064013 (2008)
Meissner, K.A.: Class. Quant. Grav. 21, 5245 (2004)
Ghosh, A., Mitra, P.: Phys. Rev. D 71, 027502 (2005)
Chatterjee, A., Majumdar, P.: Phys. Rev. Lett. 92, 141301 (2004)
Upadhyay, S.: Phys. Rev. D 95, 043008 (2017)
Sanders, R.H.: MNRAS 342, 901 (2003)
Milgrom, M., Sanders, R.H.: Astroph. J. 599, L25 (2003)
Hameeda, M., Upadhyay, S., Faizal, M., Ali, A.F.: MNRAS 463, 3699 (2016)
Pourhassan, B., Upadhyay, S., Hameeda, M., Faizal, M.: MNRAS 468, 3166 (2017)
Upadhyay, S., Capozziello, S., Pourhassan, B.: Int. J. Mod. Phys. D 28, 1950027 (2019)
Capozziello, S., Faizal, M., Hameeda, M., Pourhassan, B., Salzano, V., Upadhyay, S.: MNRAS 474, 2430 (2018)
Pourhassan, B., Upadhyay, S.: Phys. Dark Univ. 29, 100596 (2020)
Hameeda, M., Upadhyay, S., Faizal, M., Ali, A.F., Pourhassan, B.: Phys. Dark Univ. 19, 137 (2018)
Radicella, N., Pavon, D.: Phys. Lett. B 691, 121 (2010)
Rindler, W., Ishak, M.: Phys. Rev. D 76, 043006 (2007)
Ahmad, F., Saslaw, W.C., Bhat, N.I.: Astrophysics J. 571, 576 (2002)
Karami, K., Abdolmaleki, A., Sahraei, N., Ghaffari, S.: JHEP 1108, 150 (2011)
Landau, L.D., Lifshtiz, E.M.: Statistical Physics. Pergamon Oxford, Oxford (1980)
Saslaw, W.C., Hamilton, A.J.: Astrophysics J. 13, 276 (1984)
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
About this article
Cite this article
Khanday, A.W., Upadhyay, S. & Ganai, P.A. Galactic clustering under power-law modified Newtonian potential. Gen Relativ Gravit 53, 58 (2021). https://doi.org/10.1007/s10714-021-02832-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-021-02832-0