Critical Collapse Beyond Spherical Symmetry: General Perturbations of the Roberts Solution
نویسنده
چکیده
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]
منابع مشابه
Nonspherical perturbations of critical collapse and cosmic censorship
Choptuik has demonstrated that naked singularities can arise in gravitational collapse from smooth, asymptotically flat initial data, and that such data have codimension one in spherical symmetry. Here we show, for perfect fluid matter with equation of state p = ρ/3, by perturbing around spherical symmetry, that such data have in fact codimension one in the full phase space, at least in a neigh...
متن کاملPerturbations and Critical Behavior in the Self-Similar Gravitational Collapse of a Massless Scalar Field
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 mas...
متن کاملEvolution of 3D Boson Stars with Waveform Extraction
Numerical results from a study of boson stars under nonspherical perturbations using a fully general relativistic 3D code are presented together with the analysis of emitted gravitational radiation. We have constructed a simulation code suitable for the study of scalar fields in space-times of general symmetry by bringing together components for addressing the initial value problem, the full ev...
متن کاملar X iv : g r - qc / 0 20 71 21 v 1 3 0 Ju l 2 00 2 Collapse of a Scalar Field in 2 + 1 Gravity
We consider the problem of critical gravitational collapse of a scalar field in 2 + 1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure, we examine their perturbations with the intent of understanding which are the critical solutions with a single unstable mode. The critical solution which ...
متن کاملNSF-ITP-95-154 gr-qc/95mmnnn Criticality and Bifurcation in the Gravitational Collapse of a Self-Coupled Scalar Field
We examine the gravitational collapse of a non-linear sigma model in spherical symmetry. There exists a family of continuously self-similar solutions parameterized by the coupling constant of the theory. These solutions are calculated together with the critical exponents for black hole formation of these collapse models. We also nd that the sequence of solutions exhibits a Hopf-type bifurcation...
متن کاملذخیره 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 1998