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Shell dynamics in the presence of a central body

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Abstract

We construct an idealized spherically symmetric relativistic model of an exploding object in the framework of the theory of surface layers in general relativity and match a Vaidya solution for a radially radiating star to another Vaidya solution through a thin spherical shell. We reduce the equations of motion and the radiation density of the Vaidya solution given by the matching conditions to a first-order system and analyze the general characteristics of the motion. We use a post-Newtonian approximation to find the equation of motion of a spherically symmetric radiating shell moving in a central gravitational potential.

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References

  1. M. A. Abramowicz, “GRG Workshop on relativistic astrophysics,” Preprint No. 130A, SISSA, Trieste (1989).

    Google Scholar 

  2. J. M. Hameury and J. P. Lasota, AIP Conf. Proc., 141, 164–203 (1986).

    Article  ADS  Google Scholar 

  3. R. Aquilano, M. Castagnino, and L. Lara, Astrophys. Space Sci., 138, 41–48 (1987).

    Article  ADS  Google Scholar 

  4. R. O. Aquilano, Astrophys. Space Sci., 226, 173–186 (1995); R. Aquilano, W. Barreto, and L. A. Núñez, Astrophys. Space Sci., 225, 167–181 (1995).

    Article  MATH  ADS  Google Scholar 

  5. J. Gallagher and S. Starrfield, Ann. Rev. Astron. Astrophys., 16, 171–214 (1978).

    Article  ADS  Google Scholar 

  6. V. H. Hamity and R. J. Gleiser, Astrophys. Space Sci., 58, 353–364 (1978).

    Article  MATH  ADS  Google Scholar 

  7. M. Castagnino and N. Umerez, Gen. Rel. Grav., 15, 625–634 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  8. W. Israel, Nuovo Cimento B, 44, 1–14 (1966).

    Article  ADS  Google Scholar 

  9. A. Papapetrou and A. Hamoui, Ann. Inst. H. Poincaré A, 9, 179–211 (1968).

    ADS  MathSciNet  Google Scholar 

  10. S. Weinberg, Gravitational and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley, New York (1972).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Al-Imam Muhammed Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia

    M. M. Babatin

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  1. M. M. Babatin
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Correspondence to M. M. Babatin.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 169, No. 3, pp. 463–471, December, 2011.

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Babatin, M.M. Shell dynamics in the presence of a central body. Theor Math Phys 169, 1767–1774 (2011). https://doi.org/10.1007/s11232-011-0150-7

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  • DOI: https://doi.org/10.1007/s11232-011-0150-7

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