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Finite Tsallis gravitational partition function for a system of galaxies

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Abstract

In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the system of gravitating galaxies can be analyzed using the Tsallis statistical mechanics. The divergences in the Tsallis gravitational partition function can be removed using the mathematical riches of the generalization of the dimensional regularization (GDR). The finite gravitational partition function thus obtained will be used to evaluate the thermodynamics of the system of galaxies and thus, to understand the clustering of galaxies in the universe. The correlation function which is beleived to contain the information of clustering of galaxies will also be discussed in this formalism.

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Authors and Affiliations

  1. Department of Physics, S.P. College, Srinagar, Kashmir, 190001, India

    Mir Hameeda

  2. Inter University Centre for Astronomy and Astrophysics, Pune, India

    Mir Hameeda

  3. School of Physics, Damghan University, P. O. Box 3671641167, Damghan, Iran

    B. Pourhassan

  4. Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC, V1T 2L7, Canada

    B. Pourhassan

  5. Departamento de Física, Universidad Nacional de La Plata, La Plata, Argentina

    M. C. Rocca

  6. Departamento de Matemática, Universidad Nacional de La Plata, La Plata, Argentina

    M. C. Rocca

  7. Consejo Nacional de Investigaciones Científicas y Tecnológicas, (IFLP-CCT-CONICET)-C. C. 727, 1900, La Plata, Argentina

    M. C. Rocca

  8. Irving K. Barber School of Arts and Sciences, University of British Columbia, Kelowna, BC, V1V 1V7, Canada

    Mir Faizal

  9. Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada

    Mir Faizal

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  1. Mir Hameeda
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  2. B. Pourhassan
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  3. M. C. Rocca
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  4. Mir Faizal
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Correspondence to M. C. Rocca.

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Hameeda, M., Pourhassan, B., Rocca, M.C. et al. Finite Tsallis gravitational partition function for a system of galaxies. Gen Relativ Gravit 53, 41 (2021). https://doi.org/10.1007/s10714-021-02813-3

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  • DOI: https://doi.org/10.1007/s10714-021-02813-3

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