Regular and Black Hole Solutions in the Einstein-Skyrme Theory with Negative Cosmological Constant

Abstract

We study spherically symmetric regular and black hole solutions in the Einstein-Skyrme theory with a negative cosmological constant. The Skyrme field configuration depends on the value of the cosmological constant in a similar manner to effectively varying the gravitational constant. We find the maximum value of the cosmological constant above which there exists no solution. The properties of the solutions are discussed in comparison with the asymptotically flat solutions. The stability is investigated in detail by solving the linearly perturbed equation numerically. We show that there exists a critical value of the cosmological constant above which the solution in the branch representing unstable configuration in the asymptotically flat spacetime turns to be linearly stable.

10 pages, 9 figures, comments and one reference added, to appear in Class.Quant.Grav

References in corpus (19)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• Locally Localized Gravity
• Bent Domain Walls as Braneworlds
• Rational Maps, Monopoles and Skyrmions
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Stability of Non-Abelian Black Holes
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Cosmological Analogues of the Bartnik--McKinnon Solutions
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the odd-parity sector
• Cosmic Colored Black Holes
• New hairy black holes with negative cosmological constant
• Regular and Black Hole Skyrmions with Axisymmetry
• Non-Abelian gravitating solitons with negative cosmological constant
• On the linear stability of solitons and hairy black holes with a negative cosmological constant: the even-parity sector
• Black Hole Skyrmions with Negative Cosmological Constant
• Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: black hole solutions
• Quantum Annihilation of Anti- de Sitter Universe

Cited by in corpus (18)

• Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
• Hedgehog ansatz and its generalization for self-gravitating Skyrmions
• Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
• Classical Yang-Mills black hole hair in anti-de Sitter space
• Hairy black holes in the general Skyrme model
• Black hole Skyrmion in a generalized Skyrme model
• Quantum corrected thermodynamics and $P-V$ criticality of self-gravitating Skyrmion black holes
• Neutron stars within the Skyrme model
• Aharonov-Bohm protection of black hole's baryon/skyrmion hair
• Solitons and Black Holes in a Generalized Skyrme Model with Dilaton-Quarkonium field
• Gravitating BPS Skyrmions
• Topological aspect of black hole with Skyrme hair
• Spinning $\sigma$-model solitons in $2+1$ Anti-de Sitter space
• Growing Hair on the extremal $BTZ$ black hole
• Time Evolution of the Radial Perturbations and Linear Stability of Solitons and Black Holes in a Generalized Skyrme Model
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Higher-order Skyrme hair of black holes
• Rotating AdS Einstein universes from constrained metrics