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)

Abstract

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
Volume645
Issue number1 I
DOIs
Publication statusPublished - 2006 Jul 1
Externally publishedYes

Fingerprint

ejecta
interactions
blasts
supernovae
density distribution
explosions
explosion
power law
shock
energy

Keywords

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

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

Self-similar solutions for the interaction of relativistic ejecta with an ambient medium. / Nakamura, Ko; Shigeyama, Toshikazu.

In: Astrophysical Journal, Vol. 645, No. 1 I, 01.07.2006, p. 431-435.

Research output: Contribution to journalArticle

Nakamura, Ko ; Shigeyama, Toshikazu. / Self-similar solutions for the interaction of relativistic ejecta with an ambient medium. In: Astrophysical Journal. 2006 ; Vol. 645, No. 1 I. pp. 431-435.
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