Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2014 | 12 | 4 | 245-255
Tytuł artykułu

Planck-scale corrections to Friedmann equation

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Recently, Verlinde proposed that gravity is an emergent phenomenon which originates from an entropic force. In this work, we extend Verlinde’s proposal to accommodate generalized uncertainty principles (GUP), which are suggested by some approaches to quantum gravity such as string theory, black hole physics and doubly special relativity (DSR). Using Verlinde’s proposal and two known models of GUPs, we obtain modifications to Newton’s law of gravitation as well as the Friedmann equation. Our modification to the Friedmann equation includes higher powers of the Hubble parameter which is used to obtain a corresponding Raychaudhuri equation. Solving this equation, we obtain a leading Planck-scale correction to Friedmann-Robertson-Walker (FRW) solutions for the p = ωp equation of state.
Słowa kluczowe
Wydawca

Czasopismo
Rocznik
Tom
12
Numer
4
Strony
245-255
Opis fizyczny
Daty
wydano
2014-04-01
online
2014-04-23
Bibliografia
  • [1] D. Amati, M. Ciafaloni, G. Veneziano, Phys. Lett. B 216, 41 (1989) http://dx.doi.org/10.1016/0370-2693(89)91366-X[Crossref]
  • [2] M. Maggiore, Phys. Lett. B 304, 65 (1993) http://dx.doi.org/10.1016/0370-2693(93)91401-8[Crossref]
  • [3] M. Maggiore, Phys. Rev. D 49, 5182 (1994) http://dx.doi.org/10.1103/PhysRevD.49.5182[Crossref]
  • [4] M. Maggiore, Phys. Lett. B 319, 83 (1993) http://dx.doi.org/10.1016/0370-2693(93)90785-G[Crossref]
  • [5] L. J. Garay, Int. J. Mod. Phys. A 10, 145 (1995) http://dx.doi.org/10.1142/S0217751X95000085[Crossref]
  • [6] S. Hossenfelder, M. Bleicher, S. Hofmann, J. Ruppert, S. Scherer, H. Stoecker, Phys. Lett. B 575, 85 (2003) http://dx.doi.org/10.1016/j.physletb.2003.09.040[Crossref]
  • [7] C. Bambi, F. R. Urban, Class. Quant. Grav. 25, 095006 (2008) http://dx.doi.org/10.1088/0264-9381/25/9/095006[Crossref]
  • [8] F. Scardigli, Phys. Lett. B 452, 39 (1999) http://dx.doi.org/10.1016/S0370-2693(99)00167-7[Crossref]
  • [9] A. Kempf, G. Mangano, R. B. Mann, Phys. Rev. D52, 1108 (1995)
  • [10] A. Kempf, J. Phys. A 30, 2093 (1997) http://dx.doi.org/10.1088/0305-4470/30/6/030[Crossref]
  • [11] F. Brau, J. Phys. A 32, 7691 (1999) http://dx.doi.org/10.1088/0305-4470/32/44/308[Crossref]
  • [12] A. F. Ali, S. Das, E. C. Vagenas, Phys. Lett. B 678, 497 (2009) http://dx.doi.org/10.1016/j.physletb.2009.06.061[Crossref]
  • [13] S. Das, E. C. Vagenas, A. F. Ali, Phys. Lett. B 690, 407 (2010) http://dx.doi.org/10.1016/j.physletb.2010.05.052[Crossref]
  • [14] G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002) http://dx.doi.org/10.1142/S0218271802001330[Crossref]
  • [15] G. Amelino-Camelia, Phys. Lett. B 510, 255 (2001) http://dx.doi.org/10.1016/S0370-2693(01)00506-8[Crossref]
  • [16] J. Kowalski-Glikman, S. Nowak, Phys. Lett. B 539, 126 (2002) http://dx.doi.org/10.1016/S0370-2693(02)02063-4[Crossref]
  • [17] J. Magueijo, L. Smolin, Phys. Rev. D 67, 044017 (2003) http://dx.doi.org/10.1103/PhysRevD.67.044017[Crossref]
  • [18] J. Magueijo, L. Smolin, Class. Quant. Grav. 21, 1725 (2004) http://dx.doi.org/10.1088/0264-9381/21/7/001[Crossref]
  • [19] J. L. Cortes, J. Gamboa, Phys. Rev. D71, 065015 (2005)
  • [20] S. Das, E. C. Vagenas, Phys. Rev. Lett. 101, 221301 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.221301[Crossref]
  • [21] S. Das, E. C. Vagenas, Can. J. Phys. 87, 233 (2009) http://dx.doi.org/10.1139/P08-105[Crossref]
  • [22] A. F. Ali, S. Das, E. C. Vagenas, Phys. Rev. D 84, 044013 (2011) http://dx.doi.org/10.1103/PhysRevD.84.044013[Crossref]
  • [23] W. Chemissany, S. Das, A. F. Ali, E. C. Vagenas, JCAP 1112, 017 (2011) http://dx.doi.org/10.1088/1475-7516/2011/12/017[Crossref]
  • [24] M. Sprenger, M. Bleicher, P. Nicolini, Class. Quant. Grav. 28, 235019 (2011) http://dx.doi.org/10.1088/0264-9381/28/23/235019[Crossref]
  • [25] A. F. Ali, JHEP 1209, 067 (2012) http://dx.doi.org/10.1007/JHEP09(2012)067[Crossref]
  • [26] A. F. Ali, H. Nafie, M. Shalaby, Europhys. Lett. 100, 20004 (2012) http://dx.doi.org/10.1209/0295-5075/100/20004[Crossref]
  • [27] A. Tawfik, H. Magdy, A. F. Ali, Gen. Rel. Grav. 45, 1227 (2013) http://dx.doi.org/10.1007/s10714-013-1522-0[Crossref]
  • [28] A. Tawfik, H. Magdy, A. F. Ali, arXiv:1205.5998 [physics.gen-ph]
  • [29] A. F. Ali, Class. Quant. Grav. 28, 065013 (2011) http://dx.doi.org/10.1088/0264-9381/28/6/065013[Crossref]
  • [30] B. Majumder, S. Sen, Phys. Lett. B 717, 291 (2012) http://dx.doi.org/10.1016/j.physletb.2012.09.035[Crossref]
  • [31] K. Nozari, S. Saghafi, JHEP 1211, 005 (2012) http://dx.doi.org/10.1007/JHEP11(2012)005[Crossref]
  • [32] B. Majumder, Phys. Lett. B 709, 133 (2012) http://dx.doi.org/10.1016/j.physletb.2012.02.022[Crossref]
  • [33] K. Nozari, A. Etemadi, Phys. Rev. D 85, 104029 (2012) http://dx.doi.org/10.1103/PhysRevD.85.104029[Crossref]
  • [34] I. Pikovski et al., Nature Phys. 8, 393 (2012) http://dx.doi.org/10.1038/nphys2262[Crossref]
  • [35] F. Marin et al., Nature Phys. 9, 71 (2013) http://dx.doi.org/10.1038/nphys2503[Crossref]
  • [36] J. D. Bekenstein, Phys. Rev. D 86, 124040 (2012) http://dx.doi.org/10.1103/PhysRevD.86.124040[Crossref]
  • [37] J. D. Bekenstein, arXiv:1301.4322 [gr-qc]
  • [38] E. P. Verlinde, JHEP 1104, 029 (2011) http://dx.doi.org/10.1007/JHEP04(2011)029[Crossref]
  • [39] A. F. Ali, A. Tawfik, Adv. High Energy Phys. 2013, 126528 (2013)
  • [40] J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973) http://dx.doi.org/10.1103/PhysRevD.7.2333[Crossref]
  • [41] J. M. Bardeen, B. Carter, S. W. Hawking, Commun. Math. Phys. 31, 161 (1973) http://dx.doi.org/10.1007/BF01645742[Crossref]
  • [42] S. W. Hawking, Commun. Math. Phys. 43, 199 (1975) [Erratum-ibid. 46, 206 (1976)] http://dx.doi.org/10.1007/BF02345020[Crossref]
  • [43] R. -G. Cai, L. -M. Cao, N. Ohta, Phys. Rev. D 81, 061501 (2010) http://dx.doi.org/10.1103/PhysRevD.81.061501[Crossref]
  • [44] G. t’Hooft, gr-qc/9310026
  • [45] P. Nicolini, Phys. Rev. D 82, 044030 (2010) http://dx.doi.org/10.1103/PhysRevD.82.044030[Crossref]
  • [46] C. Bastos, O. Bertolami, N. C. Dias, J. N. Prata, Class. Quant. Grav. 28, 125007 (2011) http://dx.doi.org/10.1088/0264-9381/28/12/125007[Crossref]
  • [47] K. Nozari, S. Akhshabi, Phys. Lett. B 700, 91 (2011) http://dx.doi.org/10.1016/j.physletb.2011.04.056[Crossref]
  • [48] S. H. Mehdipour, A. Keshavarz, A. Keshavarz, Europhys. Lett. 91, 10002 (2012) http://dx.doi.org/10.1209/0295-5075/98/10002[Crossref]
  • [49] A. Sheykhi, Phys. Rev. D 81, 104011 (2010) http://dx.doi.org/10.1103/PhysRevD.81.104011[Crossref]
  • [50] S. H. Hendi, A. Sheykhi, Phys. Rev. D 83, 084012 (2011) http://dx.doi.org/10.1103/PhysRevD.83.084012[Crossref]
  • [51] B. Majumder, Adv. High Energy Phys. 2013, 296836 (2013)
  • [52] M. Aghaei Abchouyeh, B. Mirza, Z. Sherkatghanad, Gen. Rel. Grav. 46, 1617 (2014) http://dx.doi.org/10.1007/s10714-013-1617-7[Crossref]
  • [53] A. Sheykhi, M. H. Dehghani, S. E. Hosseini, Phys. Lett. B 726, 23 (2013) http://dx.doi.org/10.1016/j.physletb.2013.08.035[Crossref]
  • [54] N. Komatsu, S. Kimura, Phys. Rev. D 88, 083534 (2013) http://dx.doi.org/10.1103/PhysRevD.88.083534[Crossref]
  • [55] M. Eune, W. Kim, Phys. Rev. D 88, 067303 (2013) http://dx.doi.org/10.1103/PhysRevD.88.067303[Crossref]
  • [56] M. Cavaglia, S. Das, R. Maartens, Class. Quant. Grav. 20, L205 (2003) http://dx.doi.org/10.1088/0264-9381/20/15/101[Crossref]
  • [57] M. Cavaglia, S. Das, Class. Quant. Grav. 21, 4511 (2004) http://dx.doi.org/10.1088/0264-9381/21/19/001[Crossref]
  • [58] A. J. M. Medved, E. C. Vagenas, Phys. Rev. D70, 124021 (2004)
  • [59] F. Scardigli, Nuovo Cim. B 110, 1029 (1995) http://dx.doi.org/10.1007/BF02726152[Crossref]
  • [60] R. J. Adler, P. Chen, D. I. Santiago, Gen. Rel. Grav. 33, 2101 (2001) http://dx.doi.org/10.1023/A:1015281430411[Crossref]
  • [61] A. J. M. Medved, E. C. Vagenas, Phys. Rev. D 70, 124021 (2004) http://dx.doi.org/10.1103/PhysRevD.70.124021[Crossref]
  • [62] B. Majumder, Phys. Lett. B 703, 402 (2011) http://dx.doi.org/10.1016/j.physletb.2011.08.026[Crossref]
  • [63] G. Amelino-Camelia, M. Arzano, A. Procaccini, Phys. Rev. D 70, 107501 (2004) http://dx.doi.org/10.1103/PhysRevD.70.107501[Crossref]
  • [64] E. M. Lifshitz, L. P. Pitaevskii, V. B. Berestetskii, Landau-Lifshitz Course of Theoretical Physics, Volume 4: Quantum Electrodynamics, (Reed Educational and Professional Publishing, Butterworth-Heinemann in Oxford, UK, 1982)
  • [65] D. Christodoulou, Phys. Lett. 25, 1596 (1970) http://dx.doi.org/10.1103/PhysRevLett.25.1596[Crossref]
  • [66] D. Christodoulou, R. Ruffini, Phys. Rev. D 4, 3352 (1971) http://dx.doi.org/10.1103/PhysRevD.4.3552[Crossref]
  • [67] C. Adami, quant-ph/0405005
  • [68] K. A. Bronnikov, S. A. Kononogov, V. N. Melnikov, Gen. Rel. Grav. 38, 1215 (2006) http://dx.doi.org/10.1007/s10714-006-0300-7[Crossref]
  • [69] R. -G. Cai, S. P. Kim, JHEP 0502, 050 (2005) http://dx.doi.org/10.1088/1126-6708/2005/02/050[Crossref]
  • [70] A. Awad, Phys. Rev. D 87, 103001 (2013) http://dx.doi.org/10.1103/PhysRevD.87.103001[Crossref]
  • [71] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.4690[Crossref]
  • [72] P. Callin, F. Ravndal, Phys. Rev. D 70, 104009 (2004) http://dx.doi.org/10.1103/PhysRevD.70.104009[Crossref]
  • [73] S. -Q. Yang et al., Phys. Rev. Lett. 108, 081101 (2012) http://dx.doi.org/10.1103/PhysRevLett.108.081101[Crossref]
  • [74] C. D. Hoyle et al., Phys. Rev. D 70, 042004 (2004) http://dx.doi.org/10.1103/PhysRevD.70.042004[Crossref]
  • [75] F. Buisseret, V. Mathieu, B. Silvestre-Brac, Class. Quant. Grav. 24, 855 (2007) http://dx.doi.org/10.1088/0264-9381/24/4/006[Crossref]
  • [76] G. L. Murphy, Phys. Rev. D 8, 4231 (1973) http://dx.doi.org/10.1103/PhysRevD.8.4231[Crossref]
  • [77] P. A. R. Ade et al., arXiv:1303.5082 [astro-ph.CO]
  • [78] S. del Campo, JCAP 12, 005 (2012) http://dx.doi.org/10.1088/1475-7516/2012/12/005[Crossref]
  • [79] U. H. Danielsson, Phys. Rev. D 66, 023511 (2002) http://dx.doi.org/10.1103/PhysRevD.66.023511[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0441-3
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.