논문

총 게시글 48건

Ju Myung Kim | Journal of Mathematical Analysis and Applications 324 (2006)

Ju Myung Kim | Journal of Mathematical Analysis and Applications 321 (2006)

Ju Myung Kim | Journal of Mathematical Analysis and Applications 320 (2006)

Ju Myung Kim,Changsun Choi | Journal of Mathematical Analysis and Applications 323 (2006)

Changsun Choi,Ju Myung Kim | Journal of Mathematical Analysis and Applications 316 (2006)

Robert B. Mann,John J. Oh | Physical Review D 74 (2006)

초록

We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in $(2 + 1)$ -dimensional spacetimes. Various collapse scenarios are investigated under a variety of the background configurations such as anti-de Sitter (AdS) black hole, de Sitter (dS) space, flat and AdS space with a conical deficit. As with the case of a disk of dust, we find that the collapse of a dust shell coincides with the Oppenheimer-Snyder type collapse to a black hole provided the initial density is sufficiently large. We also find—for all types of shell—that collapse to a naked singularity is possible under a broad variety of initial conditions. For shells with pressure this singularity can occur for a finite radius of the shell. We also find that GCG shells exhibit diverse collapse scenarios, which can be easily demonstrated by an effective potential analysis.

초록

We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in $(2 + 1)$ -dimensional spacetimes. Various collapse scenarios are investigated under a variety of the background configurations such as anti-de Sitter (AdS) black hole, de Sitter (dS) space, flat and AdS space with a conical deficit. As with the case of a disk of dust, we find that the collapse of a dust shell coincides with the Oppenheimer-Snyder type collapse to a black hole provided the initial density is sufficiently large. We also find—for all types of shell—that collapse to a naked singularity is possible under a broad variety of initial conditions. For shells with pressure this singularity can occur for a finite radius of the shell. We also find that GCG shells exhibit diverse collapse scenarios, which can be easily demonstrated by an effective potential analysis.