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Prog. Theor. Phys. Vol. 101 No. 1 (1999) pp. 47-71

[ Full Text PDF : FREE ACCESS (233K) ]

Crossing of Spherical Massive Shells in Vacuum Space-Time

Ken-ichi Nakao,*) Daisuke Ida**) and Norimasa Sugiura***)

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

(Received August 21, 1998)

Abstract:

We investigate collisions between two spherical massive shells in vacuum space-time by assuming that the shells are transparent. We give an expression for the energy transfer and the change in the 3-momentum due to the collision. Compared with the Newtonian situation, the relativistic effect always increases the energy transfer. In particular, in a collision close to the singularity and the horizon defined in the region between the shells, the energy transfer can be arbitrarily large. However, in such cases, the collision is not observable for the asymptotic observer. Further, we discuss a situation similar to the shell crossing on a spherical void wall of the horizon scale. In this case, for some parameter choices, the outer shell initially going outward may suddenly change its motion to contraction due to a relativistic effect when it crosses with the inner shell.


URL : http://ptp.ipap.jp/link?PTP/101/47/
DOI : 10.1143/PTP.101.47


*)E-mail: nakao@tap.scphys.kyoto-u.ac.jp
**)E-mail: ida@tap.scphys.kyoto-u.ac.jp
***)E-mail: sugiura@tap.scphys.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (233K) ] Citation:

References:

  1. N. Gouda and T. Nakamura, Prog. Theor. Phys. 79 (1988), 765[PTP].
  2. N. Gouda, Prog. Theor. Phys. 81 (1989), 648[PTP].
  3. C. J. S. Clarke, The Analysis of Space-Time Singularities (Cambridge University Press, New York, 1993), p. 166.
  4. W. Israel, Nuovo Cim. 44B (1966), 1; 48B (1967), 463; Phys. Rev. 153 (1967), 1388[APS].
  5. G. L. Comer and J. Katz, Class. Quantum Grav. 10 (1993), 1751[CrossRef].
  6. N. Sugiura, K. Nakao and T. Harada, Phys. Rev. D58 (1998), 103504[APS].
  7. T. Dray and G. 't Hooft, Commun. Math. Phys. 99 (1985), 613[CrossRef].
    I. H. Redmount, Prog. Theor. Phys. 73 (1985), 1401[PTP].
  8. D. Núñez, H. P. de Oliveira and J. Salim, Class. Quantum Grav. 10 (1993), 1117[CrossRef].
  9. D. Ida and K. Nakao, Kyoto University preprint KUNS-1524 (1998), submitted to Prog. Theor. Phys.
  10. S. L. Shapiro and S. A. Teukolsky, Astrophys. J. 298 (1985), 34[CrossRef]; ibid. 298 (1985), 58[CrossRef]; Astrophys. J. Lett. 292 (1985), L41[CrossRef].
  11. T. J. Broadhurst, R. S. Ellis, D. C. Koo and A. S. Szalay, Nature 343 (1990), 726[CrossRef].
    T. R. Lauer and M. Postman, Astrophys. J. 425 (1994), 418[CrossRef].
  12. R. M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).
  13. C. W. Misner and D. H. Sharp, Phys. Rev. 136 (1964), B571[APS].
  14. S. A. Hayward, Phys. Rev. D53 (1996), 1938[APS].
  15. C. Hellaby and K. Lake, Astrophys. J. 290 (1985), 381[CrossRef].
  16. D. M. Eardley, Phys. Rev. Lett. 33 (1974), 442[APS].
    K. Lake and R. C. Roeder, Lett. Nuovo Cim. 16 (1976), 17.
    S. K. Blau, Phys. Rev. D39 (1989), 2901[APS].
    C. Barrabès, P. R. Brady and E. Poisson, Phys. Rev. D47 (1993), 2383[APS].
  17. C. M. Will, Theory and experiment in gravitational physics (revised edition)(Cambridge University Press, 1993), p. 266.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 989-1000 :
    Collision of Time-Like Shells in Spherically Symmetric Spacetime
    Daisuke Ida and Ken-ichi Nakao
  2. Progress of Theoretical Physics Supplement No.148 (2002) pp. 267-275 :
    Brane Collisions and Braneworld Cosmology
    Uchida Gen, Akihiro Ishibashi and Takahiro Tanaka

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