Gravitating σ Model Solitons
نویسندگان
چکیده
We study axially symmetric static solitons of O(3) nonlinear σ model coupled to (2+1)-dimensional anti-de Sitter gravity. The obtained solutions are not self-dual under static metric. The usual regular topological lump solution cannot form a black hole even though the scale of symmetry breaking is increased. There exist nontopological solitons of half integral winding in a given model, and the corresponding spacetimes involve charged BañadosTeitelboim-Zanelli black holes without non-Abelian scalar hair. PACS number(s): 11.27.+d, 04.40-b, 04.70.Bw Typeset using REVTEX ∗Electronic mail address : [email protected] †Electronic mail address : [email protected] 1
منابع مشابه
The cosmological gravitating σ model : solitons and black holes
We derive and analyze exact static solutions to the gravitating O(3) σ model with cosmological constant in (2+1) dimensions. Both signs of the gravitational and cosmological constants are considered. Our solutions include geodesically complete spacetimes, and two classes of black holes. e-mail: [email protected] e-mail: [email protected]
متن کامل0 41 10 01 v 1 2 9 O ct 2 00 4 A note on the non - existence of σ - model solitons in the 2 + 1 dimensional AdS gravity Piotr
We show that the gravitating static soliton in the 2 + 1 dimensional O(3) σ model does not exist in the presence of a negative cosmological constant.
متن کاملThe gravitating σ model in 2 + 1 dimensions : black hole solutions
We derive and discuss black–hole solutions to the gravitating O(3) σ model in (2+1) dimensions. Three different kinds of static black holes are found. One of these resembles the static BTZ black hole, another is completely free of singularities, and the last type has the same Penrose diagram as the (3+1)–dimensional Schwarzschild black hole. We also construct static and dynamical multi–black ho...
متن کاملGravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
We present a review of gravitating particle-like and black hole solutions with nonAbelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills theory, and consider their various gene...
متن کاملGravitating Non-abelian Solitons and Hairy Black Holes in Higher Dimensions
This is a short review of classical solutions with gravitating Yang-Mills fields in D > 4 spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D = 5 are considered, and their various generalizations with or without an event horizon, for other symmetries, in more general theories, and also in D > 5 are desc...
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