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Non-adiabatic gravitational collapse in higher dimensional space-time and its junctions conditions

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Abstract

Junction conditions are studied at the boundary of a higher dimensional spherical distribution containing an outgoing heat flow and radiation flux. Our analysis extends to higher dimension, an important observation of Santos that for a collapsing fluid with radial heat flow the isotropic pressure on the surface of discontinuity does not vanish. Some physically relevant parameters like luminosity, mass function for the bounded distribution and also the time required for horizon formation are also calculated and it is observed that the dimensionality of space-time does not qualitatively alter the analogous results of the ‘standard’ space time.

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References

  • Burrows, A. and Lattimmer, J.: 1986,Astrophys. J. 307, 178.

    Google Scholar 

  • Cahill, M.E. and McVittie, G.C.: 1970,J. Math. Phys. 11, 1382.

    Google Scholar 

  • Chatterjee, S. and Bhui, B.: 1990,Monthly Not. Roy. Astr. Soc. 247, 577;Int. J. Theor. Phys. 32, 671.

    Google Scholar 

  • Chatterjee, S., Bhui, B. and Banerjee, A.: 1990,J. Math. Phys. 31, 2208.

    Google Scholar 

  • de Oliveira, A.K.G., Santos, N.O. and Kolassis, C.A.: 1985,Monthly Not. Roy. Astr. Soc. 216, 1001.

    Google Scholar 

  • de Olivelra, A.K.G., de F. Pacheco, J.A. and Santos, J.O.: 1986,Monthly Not. Roy. Astr. Soc. 220, 405.

    Google Scholar 

  • Duff, M.J., Nilsson, B.E. and Pope, C.N.: 1986,Phys. Rep. 130, 1.

    Google Scholar 

  • Guendelman, E.I.: 1991,Gen. Rel. Grav. 23, 1415.

    Google Scholar 

  • Hoyle, F. and Fowler, W.A.: 1963,Nature 197, 533.

    Google Scholar 

  • Israel, W.: 1958,Proc. Roy. Soc. London 248, 404.

    Google Scholar 

  • Lichnerowicz, A.: 1955,Theories relativities dela Grav. et de 1. Electromagnetisme, Masson, Paris.

    Google Scholar 

  • Myer, R. and Perry, M.: 1986,Ann. Phys. (N.Y.) 172, 304.

    Google Scholar 

  • Misner, C.W. and Sharp, D.H.: 1965,Phys. Lett. 15, 279.

    Google Scholar 

  • O'Brien, S. and Synge, J.L.: 1952,Comm. Dublin Inst. Adv. Stud. A 9, p. 1.

    Google Scholar 

  • Oppenhelmer, J.R. and Snyder, H.: 1939,Phys. Rev. 56, 955.

    Google Scholar 

  • Santos, N.O.: 1985,Monthly Not. Roy. Astr. Soc. 116, 403.

    Google Scholar 

  • Shvartsman, V.F.: 1971,Soviet Phys. JETP 33, 475.

    Google Scholar 

  • Vaidya, P.C.: 1953,Nature 171, 260.

    Google Scholar 

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Bhui, B., Chaterjee, S. & Banerjee, A. Non-adiabatic gravitational collapse in higher dimensional space-time and its junctions conditions. Astrophys Space Sci 226, 7–18 (1995). https://doi.org/10.1007/BF00626894

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  • DOI: https://doi.org/10.1007/BF00626894

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