publication . Preprint . 2004

FRW cosmological model inside an isolated Schwarzschild black hole

Ortiz, C.; Rosales, J. J.; Socorro, J.; Tkach, V. I.;
Open Access English
  • Published: 11 Jun 2004
Abstract
Using the canonical quantum theory of spherically symmetric pure gravitational systems, we present a direct correspondence between the Friedmann-Robertson-Walker (FRW) cosmological model in the interior of a Schwarzschild black hole and the nth energy eigenstate of a linear harmonic oscillator. Such type of universe has a quantized mass of the order of the Planck mass and harmonic oscillator wave functions
Subjects
arXiv: Physics::General Physics
free text keywords: General Relativity and Quantum Cosmology
Download from

[1] J.D. Bekenstein, Lett. Nuovo Cimento 11, 467 (1974).

[2] P. Ehrenfest, Collected Scientific Papers, edited by M.J. Klein, (North-Holland Pub.Co. 1959).

[3] V. Mukhanov, JETP Lett. 44, 63 (1986); J.D. Bekenstein and V.F. Mukhanov, Phys. Lett. B 360, 7 (1995).

[4] S.Hod, Phys.Rev. Lett. 81, 4293, (1998), gr-qc/0007013.

[5] N. Rosen, Int. J. of Theor. Phys. 32, 1435 (1993).

[6] B.S. DeWitt, Phys. Rev. 160, 1113 (1967); S.W. Hawking and G.T. Horowitz, Class. Quant. Grav. 13, 1487 (1996).

[7] T. Regge and C. Teitelboim, Ann. Phsy. 88, 286 (1974).

[8] Misner, K.S. Thorne and J.A Wheeler, Gravitation, (Ed. Freeman, San Francisco, 1973)

[9] J. Louko and J. M¨akel¨a, Phys. Rev. D 54, 4982 (1996).

[10] H.A. Kastrup, Phys. Lett. B 385, 75 (1996); 413, 267 (1997).

[11] J. M¨akel¨a, Schro¨dinger equation of the Schwarzschild black hole, gr-qc/9602008.

[12] J. M¨akel¨a, Phys. Lett. B 390, 115 (1997).

Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue