Abstract
Hořava–Lifshitz (HL) gravity belongs to a class of modified gravity models capable of providing interesting possibilities from a cosmological perspective. In this paper, we obtain three exact solutions to the Friedmann equations corresponding to the HL model. Out of these three solutions, two of the solutions are physical, using which we studied the dynamics of particle creation in the model. In our study, we found that, although the overall evolution of the physical and thermodynamic parameters of our model are well-behaved, the models are unstable in the context of squared sound speed.
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References
L Parker Phys. Rev. Lett. 21 562 (1968)
L Parker Phys. Rev. 183 1057 (1969)
L Parker Phys. Rev. D 3 346 (1971)
N J Papastamatiou and L Parker Phys. Rev. D 19 2283 (1979)
I Prigogine Int. J. Theor. Phys. 28 927 (1989)
W Zimdahl and D Pavon Phys. Lett. A 176 57 (1993)
W Zimdahl, J Triginer and D Pavon Phys. Rev. D 54 6101 (1996)
T Harko and M Mak Astrophys. Space Sci. 253 161 (1997)
V B Johri and K Desikan Gen. Relativ. Gravit. 26 1217 (1994)
C P Singh Astrophys. Space Sci. 338 411 (2012)
G P Singh and A Beesham Aust. J. Phys. 52 1039 (1999)
V B Johri and K Desikan Gen. Relativ. Gravit. 26 1217 (1994)
G P Singh, R V Deshpande and T Singh Astrophys. Space Sci. 282 489 (2002)
G P Singh and A Y Kale Eur. Phys. J. Plus 126 1 (2011)
R Chaubey Astrophys. Space Sci. 342 499 (2012)
C P Singh and S Kaur Phys. Rev. D. 100 084057 (2019)
S Chandel and S Ram Pramana 86 681 (2016)
G K Goswami and M Trivedi Int. J. Theor. Phys. 51 2615 (2012)
R Ivanov and E M Prodanov Eur. Phys. J. C. 79 1 (2019)
G P Singh, A Lalke and N Hulke Braz J. Phys. 50 725 (2020)
G P Singh, A Beesham and R Deshpande Pramana 54 729 (2000)
G P Singh, N Hulke and A Singh Indian J. Phys. 94 127 (2020)
A Jawad, S Rani and M A Sultan Symmetry 11 1039 (2019)
P Hořava Phys. Rev. D 79 084008 (2009)
P Hořava Phys. Rev. Lett. 102 161301 (2009)
P Hořava and C M Melby-Thompson Phys. Rev. D 82 064027 (2010)
A Tawfik and E A El Dahab Int. J. Theor. Phys 56 2122 (2017)
T Zhu, Y Huang and A Wang JHEP 2013 1 (2013)
A Tawfik, A M Diab and E A El Dahab Int. J. Mod. Phys. A 31 165004 (2016)
B Pourhassan Phys. Dark Universe 13 132 (2016)
A Wang and Y Wu JCAP 2009 012 (2019)
M Jamil, E N Saridakis and M Setare JCAP 2010 032 (2010)
R Cordero, H Garcí-Compeán and F J Turrubiates Gen. Relativ. Gravit. 51 1 (2019)
A Wang and R Maartens Phys. Rev. D 81 024009 (2010)
B Pourhassan Phys. Dark Universe 13 132 (2016)
R D Blandford, M Amin, E A Baltz, K Mandel and P J Marshall Observ. Dark Energy 339 27 (2005)
P J Peebles and B Ratra Rev. Mod. Phys. 75 559 (2003)
I Quiros, T Gonzalez, U Nucamendi, R Garcia-Salcedo, F A Horta-Rangel and J Saavedra Class. Quant. Grav. 35 075005 (2018)
M Visser Phys. Rev. D 56 7578 (1997)
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Chetia, C., Gohain, M.M. & Bhuyan, K. Thermodynamic particle creation in Hořava–Lifshitz gravity. Indian J Phys 98, 1527–1538 (2024). https://doi.org/10.1007/s12648-023-02921-7
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DOI: https://doi.org/10.1007/s12648-023-02921-7