The relative motion of membranes

• Autorzy: Mark Roberts
• Języki publikacji: EN

Abstrakty

EN

The relative classical motion of membranes is governed by the equation (w β cα c r βa)a = R δγβα r gb x δa p aγ, where w is the hessian. This is a generalization of the geodesic deviation equation and can be derived from the lagrangian p · ṙ. Quantum mechanically the picture is less clear. Some quantizations of the classical equations are attempted so that the question as to whether the Universe started with a quantum fluctuation can be addressed.

Słowa kluczowe

EN

membranes; geodesic deviation

• Czasopismo: Open Physics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 915-919

Daty

wydano

2010-12-01

online

2010-09-05

Twórcy

autor

Mark Roberts,

Bibliografia

• [1] H. Balasin, D. Kahlina, Classical Quant. Grav. 18, 2999 (2001) http://dx.doi.org/10.1088/0264-9381/18/15/313[Crossref]
• [2] A. Einstein, L. Infeld, B. Hoffmann, Ann. Math. 39, 65 (1938) http://dx.doi.org/10.2307/1968714[Crossref]
• [3] J. Garriga, A. Vilenkin, Phys. Rev. D 44, 1007 (1991) http://dx.doi.org/10.1103/PhysRevD.44.1007[Crossref]
• [4] J. Garriga, A. Vilenkin, Phys. Rev. D 45, 3496 (1992) http://dx.doi.org/10.1103/PhysRevD.45.3469[Crossref]
• [5] S. W. Hawking, G. F. R. Ellis, The large scale structure of space-time, Cambridge Monographs on Mathematical Physics, No. 1. (Cambridge University Press, London-New York, 1973)
• [6] J. Khoury, B. A. Ovrut, P. J. Steinhardt, N. Turok, Phys. Rev. D 64, 123522 (2001) http://dx.doi.org/10.1103/PhysRevD.64.123522[Crossref]
• [7] M. Mohseni, Phys.Lett.B 587, 133 (2004) http://dx.doi.org/10.1016/j.physletb.2004.02.059[Crossref]
• [8] J. A Nieto, J. Saucedo, V. M. Villanueva, Phys. Lett. A 312, 175 (2003) http://dx.doi.org/10.1016/S0375-9601(03)00623-6[Crossref]
• [9] M. D. Roberts, Gen. Relat. Gravit. 28, 1385 (1996) http://dx.doi.org/10.1007/BF02109528[Crossref]
• [10] M. D. Roberts, Mod. Phys. Lett. A 14, 1739 (1999) http://dx.doi.org/10.1142/S021773239900184X[Crossref]
• [11] M. D. Roberts, Classical Quant. Grav. 20, 507 (2003) http://dx.doi.org/10.1088/0264-9381/20/3/308[Crossref]
• [12] E. P. Tyron, Nature 246, 369 (1973)

Identyfikatory

DOI

10.2478/s11534-010-0022-z