Constructing an Entropy-Force Model of the Expansion of the Universe due to Gravitationally Induced Production of Dark Matter

Cover Page

Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

In the framework of entropic cosmology and Prigozhin’s gravitational theory about the connection between geometry and matter, providing the production of particles in the cosmological fluid, as well as in the assumption of exchange entropy at the event horizon, a one-liquid model of the evolution of a spatially flat, homogeneous and isotropic Universe is constructed. For its construction the energy conservation equation is derived from the first law of thermodynamics taking into account gravitationally induced creation of matter and exchange energy processes on the visible horizon of the Universe. On the basis of the energy equation and the fundamental Friedman equation describing the expansion of the Universe, modified Friedman-Robertson-Walker equations have been constructed in the context of the entropic formalism, designed for modelling various dynamical aspects of the evolution of the Universe taking into account adiabatic creation of matter. Several forms of exchangeable phenomenological non-extensive entropies associated with the region of the apparent cosmological horizon were used in their derivation. The obtained evolutionary model, consistent with the standard Λ-model for cold dark matter, is intended to describe without introducing new fields the accelerated expansion of the late Universe, providing its cosmological history.

Full Text

Restricted Access

About the authors

M. Ya. Marov

Vernadsky Institute of Geochemistry and Analytical Chemistry of the Russian Academy of Sciences

Email: kolesn@keldysh.ru
Russian Federation, Moscow

A. V. Kolesnichenko

Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences

Author for correspondence.
Email: kolesn@keldysh.ru
Russian Federation, Moscow

References

  1. J. D. Bekenstein, Phys. Rev. D 7, 2333 (1975).
  2. S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).
  3. R. Bousso, Reviews of modern physic 74, 825 (2002).
  4. T. Padmanabhan, Phys. Rev. D 81, 124040 (2010).
  5. E. Verlinde, J. High Energy Phys. 4, 1 (2011).
  6. L. Susskind, J. Math. Phys. 36, 6377 (1995).
  7. D. A. Easson, P. H. Frampton, G. F. Smoot, Physics Letters B 696, 273 (2011).
  8. D. A. Easson, P. H. Frampton, G. F. Smoot, arXiv.1003.1528 v3[hep.-th.] (2012).
  9. T. S. Koivisto, D. F. Mota, M. Zumalacárregui, J. Cosmol. Astropart. Phys. 02, id.027 (2011).
  10. M. Akbar, R. G. Cai, Phys. Rev. D 75, 084003 (2007).
  11. S. Basilakos, D. Polarski, J. Solа, Phys. Rev. D 86, 043010 (2012).
  12. N. Komatsu, S. Kimura, Phys. Rev. D 87, 043531 (2013).
  13. N. Komatsu, S. Kimura, Phys. Rev. D 88, 083534 (2013).
  14. A. V. Kolesnichenko, M. Ya. Marov, Mathematica Montisnigri L, 80 (2021).
  15. A. V. Kolesnichenko, M. Ya. Marov, Astronomy Reports 66, 786 (2022).
  16. W. de Sitter, Proc. Roy. Acad. Sci. (Amsterdam). 19, 1217 (1917).
  17. J. D. Barrow, Physics Letters B 808, 135643 (2020).
  18. J. D. Barrow, S. Basilakos, E. N. Saridakis, Physics Letters B 815, 136134 (2021).
  19. C. Tsallis, L. J. L. Cirto, Eur. Phys. J. C. 73, 2487 (2013).
  20. V. G. Czinner, H. Iguchi, Phys. Lett. B. 752, 306 (2016).
  21. G. Kaniadakis, A. M. Scarfone, Physica A: Statistical Mechanics and Its Applications 305, 69 (2002).
  22. E. M. C. Abreu, J. A. Neto, Europhysics Letters 133, 49001 (2021).
  23. B. D. Sharma, D. P. Mittal, J. Comb. Inform. & Syst. Sci. 2, 122 (1975).
  24. J. A. Sayahian, S. A. Moosavi, H. Moradpour, J. P. Morais Graça, I. P. Lobo, I. G. Salako, A. Jawad, Physics Letters B 780, 21 (2018).
  25. F.K. Anagnostopoulos, S. Basilakos, E.N. Saridakis, Eur. Phys. J. C. 80, 826 (2020).
  26. S. Basilakos, J. Solа, Phys. Rev. D. 90, 023008 (2014).
  27. B. Hu, Y. Ling, Phys. Rev. D. 73, 123510 (2006).
  28. Y. Wang, D. Wands, G.-B. Zhao, L. Xu, Phys. Rev. D. 90, 023502 (2014).
  29. N. Tamanini, Phys. Rev. D. 92, 043524 (2015).
  30. N. Komatsu, S. Kimura, Phys. Rev. D. 93, 043530 (2016).
  31. E. Schrodinger, Physica 6, 899 (1939).
  32. L. Parker, Phys. Rev. Lett. 21, 562 (1968).
  33. L. Parker, Phys. Rev. 183, 1057 (1969).
  34. N. D. Birrell, P. C. Davies Quantum Fields in Curved Space. (Cambridge University Press, Cambridge, 1982).
  35. I. Prigogine, J. Geheniau, E. Gunzig, P. Nardone, General Relativity and Gravitation 21, 767 (1989).
  36. M. O. Calvao, J. A. S. Lima, I. Waga, Physics Letters A 162, 223 (1992).
  37. N. Komatsu, S. Kimura, Phys. Rev. D 92, 043507 (2015).
  38. D. Clowe, M. Bradac, A. H. Gonzalez, M. Markevitch, S. W. Randall, C. Jones, D. Zaritsky, Astrophys. J. 648, L109 (2006) .
  39. J. Sola, J. Phys. Conf. Ser. 453, 012015 (2013).
  40. С. Вайнберг. Гравитация и Космология. Принципы и приложения общей теорииотносительности (Волгоград, Изд-во «ПЛАТОН», 2000).
  41. B. Ryden Introduction to Cosmology (Cambridge University Press, 2017).
  42. J. A. S. Lima, A. S. M. Germano, Physics Letters A 170, 373 (1992).
  43. J. A. S. Lima, A. S. M. Germano, L. R. W. Abramo, Phys. Rev. D 53, 4285 (1996).
  44. J. A. S.Lima, I. Baranov, Phys. Rev. D 90, 043515 (2014).
  45. N. Komatsu, Phys. Rev. D 99, 043523 (2019).
  46. S. Weinberg, Astrophys. J. 168, 175 (1971).
  47. S. Weinberg Gravitation and cosmology, Principles and Applications of the general Theory of Relativity (John Wiley & Sons, New York, 1972).
  48. И. Пригожин, Р. Дефей. Химическая термодинамика (Новосибирск, 1966).
  49. R. Silva, J. A. S. Lima, M. O. Calvão, General Relativity and Gravitation 34, 865 (2002).
  50. J. Solà, A. Gómez-Valent, J. de Cruz Pérez, Astrophys. J. 811, L14 (2015).
  51. R. G Cai, S. P. Kim, JHEP 0502, 050 (2005).
  52. J. A. S. Lima, J. A. M. Moreira, J. Santos, General Relativity and Gravitation 30, 425 (1998).
  53. G. Steigman, R. C. Santos, J. A. S. Lima, JCAP 0906, 033 (2009).
  54. A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P. M. Garnavich, J. Tonry, Astron. J. 116, 1009 (1998).
  55. S. Perlmutter, M. S. Turner, M. White, Phys. Rev. Lett. 83, 670 (1999).
  56. J. D. Barrow, T. Clifton, Phys. Rev. D 73, 103520 (2006).
  57. G. Kaniadakis, Phys. Rev. E 66, 056125 (2002).
  58. А. В. Колесниченко. Препринт ИПМ им. М. В. Келдыша 17, 36 (2020).
  59. А. В. Колесниченко. Mathematica Montisnigri. XLII, 74 (2018).
  60. А. В. Колесниченко. Статистическая механика и термодинамика Тсаллиса неаддитивных систем: Введение в теорию и приложения (М.: ЛЕНАНД, 2019).
  61. Y.-F. Cai, E. Saridakis, Physics Letters B 697, 280 (2011).
  62. T. Padmanabhan, Rept. Prog. Phys. 73, 046901 (2010).
  63. D. F. Torres, H. Vucetich, A. Plastino, Phys. Rev. Lett. 79, 1588 (1997).
  64. Y. Aditya, S. Mandal, P. Sahoo, D. Reddy, Eur. Phys. J. 79, 1020 (2019).
  65. G. Wilk, Z. Wlodarczyk, Phys. Rev. Lett. 84, 2770 (2000).
  66. S. Waheed, Eur. Phys. J. Plus. 135, 11 (2020).
  67. E. N. Saridakis, J. Cosmol. and Astroparticle Phys. 07, id. 031 (2020).
  68. E. N. Saridakis, S. Basilakos, Eur. Phys. J. C. 7, 644 (2021).
  69. S. Basilakos, M. Plionis, Sola J. Phys. Rev. D 80, 083511 (2009).
  70. A. S. Jahromi, S. Moosavi, H. Moradpour, J. M. Graca, I. Lobo, I. Salako, A. Jawad, Physics Letters B 780, 056125 (2018).
  71. N. Komatsu, Phys. Rev. D 96, 103507 (2017).
  72. N. Komatsu, Eur. Phys. J. C. 77, 229 (2017).
  73. А. В. Колесниченко, М. Я. Маров. Астрон. журн. 99, 740 (2022).
  74. R. C. Nunes, E. M. Barboza, E. M. C. Abreu, J. A. Neto, J. Cosmol. and Astroparticle Phys. 08, 051 (2016).
  75. T. Padmanabhan, Modern Physics Letters A 25, 1129 (2010).
  76. E. M. C. Abreu, J. A. Neto, A. C. R. Mendes, R. M. de Paula, Chaos, Solitons & Fractals 118, 307 (2019).
  77. T. Padmanabhan, S. M. Chitre, Physics Letters A 120, 433 (1987).
  78. B. Li, J. Barrow, Phys. Rev. D 79, id. 103521 (2009).
  79. A. Avelino, U. Nucamendi, J. Cosmol. and Astroparticle Phys. 08, id. 009 (2010).
  80. X.-H. Meng, X. Dou, Communicationsin Theoretical Physics 52, 377 (2009).
  81. X. Dou, X.-H. Meng, Adv. Astron. 2011, 829340 (2011).
  82. G. Kaniadakis, P. Quarati, A.M. Scarfone, Physica A: Statistical Mechanics and Its Applications 305, 76 (2002).
  83. A.V. Kolesnichenko, Mathematica Montisnigri XLVIII, 118 (2020).
  84. G. Kaniadakis, Entropy 15, 3983 (2013).
  85. E. M. C. Abreu, J. A. Neto, E. M. Jr. Barboza, A. C. R. Mendes, B. B. Soares, Modern Physics Letters A 35, 2050266 (2020) .
  86. E. M. C. Abreu, J. A. Neto, arXiv:2107.04869v2 [gr-qc] (2021).
  87. И. С. Градштейн, И. М. Рыжик. Таблицы интегралов сумм рядов и произведений (М.: Физматгиз, 1963).
  88. М. Я. Маров. Космос: От Солнечной системы вглубь Вселенной (М.: Физматгиз, 2018).

Supplementary files

Supplementary Files
Action
1. JATS XML
Download

Copyright (c) 2024 The Russian Academy of Sciences