5D black hole solution in Einstein-Yang-Mills-Gauss-Bonnet theory

We present thin-shell wormhole solutions in Einstein-Yang-Mills-Gauss-Bonnet (EYMGB) theory in higher dimensions d ≥ 5. Exact black hole solutions are employed for this purpose where the radius of thin-shell lies outside the event horizon. For some reasons the cases d = 5 and d > 5 are treated separately. The surface energy-momentum of the thin-shell creates surface pressures to resist against collapse and rendering stable wormholes possible. We test the stability of the wormholes against spherical perturbations through a linear energy-pressure relation and plot stability regions. Apart from this restricted stability we investigate the possibility of normal (i.e. non-exotic) matter which satisfies the energy conditions. For negative values of the Gauss-Bonnet (GB) parameter we obtain such physical wormholes.Dedicated to the memory of Rev. Ibrahim EKEN (1927 of Turkey.

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“…One can easily show that these ansaetze satisfy the YM equations [6,8]. In consequence, the energy-momentum tensor (6), with…”

Section: -Parameter Lie Group G σ Is a Coupling Constant Andmentioning

confidence: 99%

Solution for static, spherically symmetric Lovelock gravity coupled with Yang–Mills hierarchy

Mazharimousavi

Halilsoy

2010

Physics Letters B

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The hierarchies of both Lovelock gravity and power-Yang-Mills field are combined through gravity in a single theory. In static, spherically symmetric ansatz exact particular integrals are obtained in all higher dimensions. The advantage of such hierarchies is the possibility of choosing coefficients, which are arbitrary otherwise, to cast solutions into tractable forms. To our knowledge the solutions constitute the most general spherically symmetric metrics that incorporate complexities both of Lovelock and YangMills hierarchies within the common context. A large portion of our general class of solutions concerns and addresses to black holes for which specific examples are given. Thermodynamical behaviors of the system is briefly discussed in particular dimensions.

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5D black hole solution in Einstein-Yang-Mills-Gauss-Bonnet theory

Abstract: By adopting the 5D version of the Wu-Yang Ansatz we present in closed form a black hole solution in the Einstein-Yang-Mills-Gauss-Bonnet (EYMGB) theory. In the EYM limit, we recover the 5D black hole solution already known.

Cited by 64 publications

References 5 publications

Black holes in the Einstein–Gauss–Bonnet theory and the geometry of their thermodynamics—II

Black holes in the Einstein–Gauss–Bonnet theory and the geometry of their thermodynamics—II

Higher-dimensional thin-shell wormholes in Einstein–Yang–Mills–Gauss–Bonnet gravity

Solution for static, spherically symmetric Lovelock gravity coupled with Yang–Mills hierarchy

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