Perturbations and Critical Behavior in the Self-Similar Gravitational Collapse of a Massless Scalar Field

نویسنده

  • Andrei V. Frolov
چکیده

This paper studies the perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (Roberts solution). The perturbation equations are derived and solved exactly. The perturbation spectrum is found to be not discrete, but occupying continuous region of the complex plane. The renormalization group calculation gives the value of the mass-scaling exponent β = 1. PACS numbers: 04.20.Jb, 05.70.Jk Typeset using REVTEX Email: [email protected]

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Critical Collapse Beyond Spherical Symmetry: General Perturbations of the Roberts Solution

This paper studies the non-spherical perturbations of the continuously selfsimilar critical solution of the gravitational collapse of a massless scalar field (the Roberts solution). The exact analysis of the perturbation equations reveals that there are no growing non-spherical perturbation modes. PACS numbers: 04.70.Bw, 05.70.Jk Typeset using REVTEX ∗Email: [email protected]

متن کامل

Critical collapse of the massless scalar field in axisymmetry

We present the results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the spherically symmetric critical solution with axisymmetric perturbations. However, we see indications of a growing, nonspherical mode about the spherically symmetric critical solution. The effect of...

متن کامل

Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field

We summarize results from a study of spherically symmetric collapse of a charged (complex) massless scalar-field [1]. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing phenomena, originally discovered by Choptuik, for the charged case. Furthermore, we study the behaviour of the self-similar critical solution under external perturbations...

متن کامل

Critical collapse of a massive vector field

Critical gravitational collapse was first found by Choptuik[1] in simulations of a spherically symmetric massless scalar field. A natural question to pose is then how critical collapse behaves when the scalar field has a mass, since this will introduce a characteristic length that destroys the scale invariance of the field equations. This question was studied by Brady et. al.[2] The results of ...

متن کامل

Critical collapse in 2+1 dimensional AdS spacetime: quasi-CSS solutions and linear perturbations

We construct a one-parameter family of exact time-dependent solutions to 2+1 gravity with a negative cosmological constant and a massless minimally coupled scalar field as source. These solutions present a continuously self-similar (CSS) behavior near the central singularity, as observed in critical collapse, and an asymptotically AdS behavior at spatial infinity. We consider the linear perturb...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997