Abstract
We study some features of entropic force approach in the presence of a noncommutative Schwarzschild-deSitter black hole. In this setup, there exists a similarity between the small and large scales. There are two finite cut-off in very short and long distances wherein the force and energy graph stop abruptly at those scales. We find that the existence of a deSitter core around the origin, induced by noncommutativity, in addition to a standard deSitter background at large scale may lead to a violation of the equivalence principle. Finally in order to directly observe the finite cut-off at short-scale gravity, caused by noncommutativity quantum fluctuations, we derive an effective gravitational constant.
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Notes
The value of \(\sqrt{\theta}\) without appearing the extra-dimensions scenarios is a value of the order of the Planck length, i.e. \(\sqrt{\theta}\sim 10^{-33}~\mbox{cm}\).
We use units with the following definitions: ħ=c=k B =1.
References
Adler, R.J., Chen, P., Santiago, D.I.: Gen. Relativ. Gravit. 33, 2101 (2001)
Ansoldi, S., Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B 645, 261 (2007)
Banerjee, R., Majhi, B.R.: Phys. Rev. D 81, 124006 (2010)
Banerjee, R., Chakraborty, B., Ghosh, S., Mukherjee, P., Samanta, S.: Found. Phys. 39, 1297 (2009)
Bardeen, J.M., Carter, B., Hawking, S.W.: Commun. Math. Phys. 31, 161 (1973)
Bousso, R., Hawking, S.W.: Phys. Rev. D 54, 6312 (1996)
Cai, Y.F., Saridakis, E.N.: Phys. Lett. B 697, 280 (2011)
Cai, R.G., Cao, L.M., Ohta, N.: Phys. Rev. D 81, 084012 (2010)
Chang-Young, E., Eune, M., Kimm, K., Lee, D.: Mod. Phys. Lett. A 26, 1975 (2011)
Gao, C.: Phys. Rev. D 81, 087306 (2010)
Guth, A.H.: Phys. Rev. D 23, 347 (1981)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Klinkhamer, F.R.: Class. Quantum Gravity 28, 125003 (2011)
Konoplya, R.A.: Eur. Phys. J. C 69, 555 (2010)
Linde, A.D.: Phys. Lett. B 108, 389 (1982)
Mann, R.B., Nicolini, P.: Phys. Rev. D 84, 064014 (2011)
Mehdipour, S.H.: Eur. Phys. J. Plus 127, 80 (2012)
Mehdipour, S.H., Keshavarz, A.: Europhys. Lett. 98, 10002 (2012)
Modesto, L., Nicolini, P.: Phys. Rev. D 82, 104035 (2010)
Mureika, J.R., Mann, R.B.: Mod. Phys. Lett. A 26, 171 (2011)
Nicolini, P.: Int. J. Mod. Phys. A 24, 1229 (2009)
Nicolini, P.: Phys. Rev. D 82, 044030 (2010)
Nicolini, P., Rinaldi, M.: Phys. Lett. B 695, 303 (2011)
Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B 632, 547 (2006)
Nozari, K., Akhshabi, S.: Phys. Lett. B 700, 91 (2011)
Nozari, K., Mehdipour, S.H.: Commun. Theor. Phys. 53, 503 (2010)
Padmanabhan, T.: Mod. Phys. Lett. A 25, 1129 (2010)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Qiu, T., Saridakis, E.N.: Phys. Rev. D 85, 043504 (2012)
Reiss, A.G., et al.: Astron. J. 116, 1009 (1998)
Rizzo, T.G.: J. High Energy Phys. 0609, 021 (2006)
Sahlmann, H.: Class. Quantum Gravity 28, 015006 (2011)
Smailagic, A., Spallucci, E.: J. Phys. A 36, L467 (2003). J. Phys. A 36, L517
Smailagic, A., Spallucci, E.: J. Phys. A 37, 7169 (2004)
Spallucci, E., Smailagic, A., Nicolini, P.: Phys. Lett. B 670, 449 (2009)
Verlinde, E.P.: J. High Energy Phys. 1104, 029 (2011)
Visser, M.: J. High Energy Phys. 1110, 140 (2011)
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Mehdipour, S.H. Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole. Astrophys Space Sci 345, 339–344 (2013). https://doi.org/10.1007/s10509-013-1413-6
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DOI: https://doi.org/10.1007/s10509-013-1413-6