Abstract
The aim of this work is to model the evolution of cosmic space based on thermodynamical parameters. The universe is considered to have an apparent horizon radius with a Kodama–Hayward temperature assigned to it. The method is founded on the fact proposed by Padmanabhan (arXiv:1206.4916; Res Astro Astrophys 12:891 arXiv:1207.0505, 2012) that the subtraction of the surface and bulk degrees of freedom provides information on the emergence of cosmic space. The fact of the matter is that in this approach the Raychaudhuri equation could even be obtained by the consideration of only thermodynamical parameters. As such, standard general relativity is taken as the starting point, where by implementing the standard cosmological equations, we obtain a generalized evolutionary equation supporting the emergence of cosmic space. The method proposed in this work can provide a basis for other cosmological models to have an emergent perspective.
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Notes
For simplicity, the natural units \(k_{{B}}=c=\hbar =1\) are used throughout this paper.
References
Padmanabhan,T.: arXiv:1206.4916
Padmanabhan, T.: Res. Astro. Astrophys. 12, 891 (2012). arXiv:1207.0505
Sakharov, A.D.: Sov. Phys. Dokl. 12, 1040 (1968)
Sakharov, A.D.: Gen. Relativ. Gravit. 32, 365 (2000)
Visser, M.: Mod. Phys. Lett. A 17, 977 (2002). arXiv:gr-qc/0204062
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Bekenstein, J.D.: Phys. Rev. D 9, 3292 (1974)
Hawking, S.W.: Nature 248, 30 (1974)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995). arXiv:gr-qc/9504004
Unruh, W.G.: Phys. Rev. D 14, 870 (1976)
Verlinde, E.: J. High Energy Phys. 4, 029 (2011). arXiv:1001.0785
Padmanabhan, T.: Mod. Phys. Lett. 25, 1129 (2010). arXiv:0912.3165
Cai, R.G., Cao, L.M., Ohta, N.: Phys. Rev. D 81, 061501 (2010). arXiv:1001.3470
Sheykhi, A.: Phys. Rev. D 87, 061501 (2013). arXiv:1304.3054
Kolekar, S., Kothawala, D., Padmanabhan, T.: Phys. Rev. D 85, 064031 (2012). arXiv:1111.0973
Cai, R.G.: J. High Energy Phys. 11, 016 (2012). arXiv:1207.0622
Eune, M., Kim, W.: Phys. Rev. D 88, 067303 (2013). arXiv:1305.6688v2
Ling, Y., Pan, W.J.: Phys. Rev. D 88, 043518 (2013). arXiv:1304.0220
Chen, Y.X., Shao, K. N.: arXiv:1007.4367
Cai, R.G., Kim, S.P.: J. High Energy Phys. 02, 050 (2005). arXiv:hep-th/0501055
Faraoni, V.: Phys. Rev. D 84, 024003 (2011). arXiv:1106.4427
Hayward, S.A.: Class. Quantum Gravity 15, 3147 (1998). arXiv:gr-qc/9710089
Hayward, S.A., Di Criscienzo, R., Vanzo, L., Nadalini, M., Zerbini, S.: Class. Quantum Gravity 26, 062001 (2009). arXiv:0806.0014
Nielsen, A.B., Yoon, J.H.: Class. Quantum. Gravity 25, 085010 (2008). arXiv:0711.1445
Cai, R.G., Cao, L.M., Hu, Y.P.: Class. Quantum Gravity 26, 155018 (2009). arXiv:0809.1554
Wei, Y.H.: Phys. Lett. B 689, 129 (2010)
Sharif, M., Zubai, M.: JCAP 03, 028 (2012). arXiv:1204.0848v2
Karami, K., Khaledian, M.S., Abdollahi, N.: Europhys. Lett. 98, 30010 (2012). arXiv:1201.4817
Abdolmaleki, A., Najafi, T., Karami, K.: Phys. Rev. D 89, 104041 (2014). arXiv:1401.7549
Akbar, M.: Chin. Phys. Lett. 25, 4199 (2008). arXiv:0808.0169
Padmanabhan, T.: Class. Quantum Gravity 21, 4485 (2004). arXiv:gr-qc/0308070
Hu, Y.P.: Phys. Lett. B 701, 269 (2011). arXiv:1007.4044v3
Bak, D., Rey, S.J.: Class. Quantum Gravity 17, L83 (2000). arXiv:hep-th/9902173
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Hashemi, M., Jalalzadeh, S. & Vasheghani Farahani, S. Hawking temperature and the emergent cosmic space. Gen Relativ Gravit 47, 53 (2015). https://doi.org/10.1007/s10714-015-1893-5
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DOI: https://doi.org/10.1007/s10714-015-1893-5