Critical collapse of a self-gravitating scalar field in a (2+1)-dimensional spacetime with negative cosmological constant seems to be dominated by a continuously self-similar solution of the field equations without cosmological constant. However, previous studies of linear perturbations in this background were inconclusive. We extend the continuously self-similar solutions to solutions of the field equations with negative cosmological constant, and analyze their linear perturbations. The extended solutions are characterized by a continuous parameter. A suitable choice of this parameter seems to improve the agreement with the numerical results. We also study the dynamics of the apparent horizon in the extended background.
M. Cavaglia et al., "Approximately Self-Similar Critical Collapse in 2+1 Dimensions," Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 70, no. 4, pp. 5-5, American Physical Society (APS), Aug 2004.
The definitive version is available at https://doi.org/10.1103/PhysRevD.70.044010
Keywords and Phrases
Article; Cosmological phenomena; Gravity; Linear system; Mathematical analysis; Quantum theory; Quantum yield; Space
International Standard Serial Number (ISSN)
Article - Journal
© 2004 American Physical Society (APS), All rights reserved.