Static and Dynamic Analysis of a Massless Scalar Field Coupled with a Class of Gravity Theories

Abstract

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d>3$) and the CGHS model are analytically obtained. They include black holes and point scalar charge solutions with naked singularities, and are used to give an analytic proof of no-hair theorem. Exact scattering solutions in $s$-wave 4-d Einstein gravity are constructed as a generalization of corresponding static solutions. They show the existence of black hole formation threshold for square pulse type incoming stress-energy flux, above which trapped surfaces are dynamically formed. The relationship between this behavior and the numerically studied phase transition in this system \cite{choptuik} is discussed.

30 pages, 8 uuencoded eps figures

References in corpus (2)

• Evanescent Black Holes
• An extension of Birkhoff's theorem to a class of 2-d gravity theories containing black holes

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