Self-similar solutions for the interaction of relativistic ejecta with an ambient medium

Ko Nakamura, Toshikazu Shigeyama

Research output: Contribution to journalArticle

22 Citations (Scopus)


We find self-similar solutions to describe the interaction of spherically symmetric ejecta expanding at relativistic speeds with an ambient medium having a power-law density distribution. Using these solutions, the time evolution of the Lorentz factor of the outer shock is derived as a function of the explosion energy, the mass of the ejecta, and parameters for the ambient medium. These solutions are an ultrarelativistic version of the solutions for the circumstellar interaction of supernova ejecta obtained by Chevalier and extensions of the relativistic blast wave solutions of Blandford & McKee.

Original languageEnglish
Pages (from-to)431-435
Number of pages5
JournalAstrophysical Journal
Issue number1 I
Publication statusPublished - 2006 Jul 1
Externally publishedYes



  • Gamma rays: bursts
  • Hydrodynamics
  • Relativity
  • Shock waves
  • Supernovae: general

ASJC Scopus subject areas

  • Space and Planetary Science

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