PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2011 | 9 | 1 | 189-197
Tytuł artykułu

On the cosmological constant problem and brane-world geometry

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The cosmological constant problem is examined within the context of the covariant brane-world gravity, based on Nash’s embedding theorem for Riemannian geometries. We show that the vacuum structure of the brane-world is more complex than General Relativity’s because it involves extrinsic elements, in specific, the extrinsic curvature. In other words, the shape (or local curvature) of an object becomes a relative concept, instead of the “absolute shape” of General Relativity. We point out that the immediate consequence is that the cosmological constant and the energy density of the vacuum quantum fluctuations have different physical meanings: while the vacuum energy density remains confined to the four-dimensional brane-world, the cosmological constant is a property of the bulk’s gravitational field that leads to the conclusion that these quantities cannot be compared, as it is usually done in General Relativity. Instead, the vacuum energy density contributes to the extrinsic curvature, which in turn generates Nash’s perturbation of the gravitational field. On the other hand, the cosmological constant problem ceases to be in the brane-world geometry, reappearing only in the limit where the extrinsic curvature vanishes.
Wydawca

Czasopismo
Rocznik
Tom
9
Numer
1
Strony
189-197
Opis fizyczny
Daty
wydano
2011-02-01
online
2010-09-24
Twórcy
autor
Bibliografia
  • [1] W. Nernst, Verh. Dtsch. Phys. Ges. 18, 83 (1916) (in German)
  • [2] H.B.G Casimir, Proc. K. Ned. Akad. Wet. 51, 635 (1948)
  • [3] V.M. Mostepanenko, N.N. Trunov, The Casimir effect and its application (Claredon Press, Oxford, 1997)
  • [4] R.L. Jaffe, Phys. Rev. D 72, 021301(R) (2005)
  • [5] W. Pauli, In: N. Straumann (Ed.), Handbuch der Physik, Vol. XXIV (Springer-Verlag, Berlin, 1990) 202
  • [6] N. Straumann, arXiv:gr-qc/0208027
  • [7] S.E. Rugh, H. Zinkernagel, Stud. Hist. Philos. M. P. 33, 663, (2002) http://dx.doi.org/10.1016/S1355-2198(02)00033-3[Crossref]
  • [8] V. Petrosian V, In: M.S. Longair (Ed.), Confrontation of Cosmological Theories with Observational Data (Dordrecht, D. Reidel Publishing, 1974) 63
  • [9] A. Riess et al., Astron. J. 116, 1009 (1998) http://dx.doi.org/10.1086/300499[Crossref]
  • [10] S. Perlmutter et al., Astrophys. J. 517, 565 (1999) http://dx.doi.org/10.1086/307221[Crossref]
  • [11] S. Weinberg, Rev. Mod. Phys. 61, 1 (1989) http://dx.doi.org/10.1103/RevModPhys.61.1[Crossref]
  • [12] S. Weinberg, arXiv:astro-ph/0005265
  • [13] A.J.S. Capistrano, P.I. Odon, Apeiron 16, 3 (2009)
  • [14] W. Chen, Y.S. Wu, Phys. Rev. D 41, 695 (1990) http://dx.doi.org/10.1103/PhysRevD.41.695[Crossref]
  • [15] I. Waga, Astrophys. J. 414, 436 (1993) http://dx.doi.org/10.1086/173090[Crossref]
  • [16] J.A.S. Lima, Braz. J. Phys. 94, 34 (2004)
  • [17] S. Carneiro, M.A. Dantas, C. Pigozzo, J.S. Alcaniz, Phys. Rev. D 77, 083504 (2008) http://dx.doi.org/10.1103/PhysRevD.77.083504[Crossref]
  • [18] T. Padmanabham, Gen. Relat. Gravit. 40, 529 (2008) http://dx.doi.org/10.1007/s10714-007-0555-7[Crossref]
  • [19] S. Capozzielo, R. de Ritis, A.A. Marino, arXiv:grqc/9806043
  • [20] M.S. Leszek, arXiv:gr-qc/0702097
  • [21] R. Trotta, G. Starkman, AIP Conf. Proc. 878, 323 (2006) http://dx.doi.org/10.1063/1.2409104[Crossref]
  • [22] J.M. Cline, H. Firouzjahi, AIP Conf. Proc. 646, 197 (2003) http://dx.doi.org/10.1063/1.1524573[Crossref]
  • [23] S. Förste, Z. Lalak, S. Lavignac, H.P. Nilles, J. High Energy Phys. 0009, 034 (2000) http://dx.doi.org/10.1088/1126-6708/2000/09/034[Crossref]
  • [24] S.H. Tye, I. Wasserman, Phys. Rev. Lett. 86, 1682 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.1682[Crossref]
  • [25] T. Padmanabhan, S. Shankaranarayanan, Phys. Rev. D 63, 105021 (2001) http://dx.doi.org/10.1103/PhysRevD.63.105021[Crossref]
  • [26] Z. Kakushhadze, Phys. Lett. B 491, 317 (2000) http://dx.doi.org/10.1016/S0370-2693(00)01069-8[Crossref]
  • [27] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.3370[Crossref]
  • [28] L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.4690[Crossref]
  • [29] S. Tsujikawa, A.R. Liddle, ICAP 0403, 001 (2004)
  • [30] S. Tsujikawa, M. Sami, R. Maartens, Phys. Rev. D 70, 063525 (2004) http://dx.doi.org/10.1103/PhysRevD.70.063525[Crossref]
  • [31] M.D. Maia, arXiv:astro-ph/0404370v1
  • [32] M.R. Nolta et al., Astrophys. J. Suppl. S. 180, 296 (2009) http://dx.doi.org/10.1088/0067-0049/180/2/296[Crossref]
  • [33] P. Kanti, Phys. Rev. Lett. B 481, 386 (2000)
  • [34] D. Langlois, M. Rodriguez-Martinez, Phys. Rev. D 64, 123507 (2001) http://dx.doi.org/10.1103/PhysRevD.64.123507[Crossref]
  • [35] E.E. Flanagan et al., Phys. Lett. B 522, 155 (2001) http://dx.doi.org/10.1016/S0370-2693(01)01261-8[Crossref]
  • [36] S. Jalalzadeh, H.R. Sepangi, Class. Quant. Grav. 22, 2035 (2005) http://dx.doi.org/10.1088/0264-9381/22/11/008[Crossref]
  • [37] M. Heydari-Fard, M. Shirazi, S. Jalalzadeh, H.R. Sepangi, Phys. Lett. B 640, 1 (2006) http://dx.doi.org/10.1016/j.physletb.2006.07.020[Crossref]
  • [38] M. Heydari-Fard, H. Razmi, H.R. Sepangi, Phys. Rev. D 76, 066002 (2007) http://dx.doi.org/10.1103/PhysRevD.76.066002[Crossref]
  • [39] M. Heydari-Fard, H.R. Sepangi, Phys. Lett. B 649, 1 (2007) http://dx.doi.org/10.1016/j.physletb.2007.04.008[Crossref]
  • [40] M. Heydari-Fard, H.R. Sepangi, Phys. Rev. D 76, 104009 (2007) http://dx.doi.org/10.1103/PhysRevD.76.104009[Crossref]
  • [41] M.D. Maia, E.M. Monte, J.M.F. Maia, J.S. Alcaniz, Class. Quant. Grav. 22, 1623 (2005) http://dx.doi.org/10.1088/0264-9381/22/9/010[Crossref]
  • [42] M.D. Maia, A.J.S. Capistrano, E.M. Monte, Int. J. Mod. Phys. A 24, 1545 (2009) http://dx.doi.org/10.1142/S0217751X09044978[Crossref]
  • [43] P.I. Odon, A.J.S. Capistrano, Phys. Scripta 81, 045101 (2010) http://dx.doi.org/10.1088/0031-8949/81/04/045101[Crossref]
  • [44] L. Schlaefli, Ann. di Mat. (2nd series) 5, 170 (1871)
  • [45] J. Nash, Ann. Math. 63, 20 (1956) http://dx.doi.org/10.2307/1969989[Crossref]
  • [46] R. Greene, Mem. Am. Math. Soc. 97, 1 (1970)
  • [47] M.D. Maia, N. Silva, M.C.B. Fernandes, J. High Energy Phys. 0704, 047 (2007) http://dx.doi.org/10.1088/1126-6708/2007/04/047[Crossref]
  • [48] M.D. Maia, A.J.S Capistrano, D. Müller, Int. J. Mod. Phys. D 18, 1273 (2009) http://dx.doi.org/10.1142/S0218271809015072[Crossref]
  • [49] C.J. Isham, A. Salam, J. Strathdee, Phys. Rev. 3, 4 (1971)
  • [50] J. Rosen, Rev. Mod. Phys. 37, 204 (1965) http://dx.doi.org/10.1103/RevModPhys.37.204[Crossref]
  • [51] M.D. Maia, arXiv:0811.3835v1
  • [52] M. Kowalski et al., Astrophys. J. 686, 749 (2008) http://dx.doi.org/10.1086/589937[Crossref]
  • [53] M. Ozer, M.O. Taha, Phys. Lett. B 171, 363 (1986) http://dx.doi.org/10.1016/0370-2693(86)91421-8[Crossref]
  • [54] W. Chen, Y.S. Wu, Phys. Rev. D 41, 695 (1990) http://dx.doi.org/10.1103/PhysRevD.41.695[Crossref]
  • [55] J.L. Lopez, D.V. Nanopoulos, Mod. Phys. Lett. A 11, 1 (1996) http://dx.doi.org/10.1142/S0217732396000023[Crossref]
  • [56] M.O. Calvão, Phys. Rev. D 45, 3869 (1962) http://dx.doi.org/10.1103/PhysRevD.45.3869[Crossref]
  • [57] A.I. Arbab, A.M.M. Abdel-Rahman, Phys. Rev. D 50, 7725 (1994) http://dx.doi.org/10.1103/PhysRevD.50.7725[Crossref]
  • [58] J. Bardeen, Phys. Rev. D 31, 1792 (1985) http://dx.doi.org/10.1103/PhysRevD.31.1792[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-010-0046-4
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.