Rotating charged black hole with Weyl corrections

Abstract

We present firstly a four-dimensional spherical symmetric black hole with small Weyl corrections and find that with increasing Weyl corrections the region of the event horizon existence for the black hole in the parameter space increases for the negative Weyl coupling parameter and decreases for the positive one. Moreover, we also obtain a rotating charged black hole with weak Weyl corrections by the method of complex coordinate transformation. Our results show that the sign of Weyl coupling parameter $\alpha$ yields the different spatial topology of the event horizons for the black hole with its parameters lied in some special regions in the parameter space. We also analyze the dependence of the ergosphere on the Weyl coupling parameter $\alpha$ and find that with the increase of the Weyl corrections the ergosphere in the equatorial plane becomes thick for a black hole with $\alpha >0$, but becomes thin in the case with $\alpha <0$, which means that the energy extraction become easier in the background of a black hole with the positive Weyl coupling parameter, but more difficult in the background of a black hole with the negative one.

16 pages, 9 figures, corrected version accepted by Phys. Rev. D

References in corpus (17)

• A Metric for Rapidly Spinning Black Holes Suitable for Strong-Field Tests of the No-Hair Theorem
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Lovelock black holes with a nonlinear Maxwell field
• Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
• The 3+1 holographic superconductor with Weyl corrections
• Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
• Spinning Loop Black Holes
• p-Wave holographic superconductors with Weyl corrections
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Holographic insulator/superconductor phase transition with Weyl corrections
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Condensation of the scalar field with Stuckelberg and Weyl Corrections in the background of a planar AdS-Schwarzschild black hole
• Gravitoelectromagnetic inflation from a 5D vacuum state: a new formalism
• Slowly Rotating Black Holes in Einstein-Generalized Maxwell Gravity
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections

Cited by in corpus (5)

• Strong gravitational field time delay for photons coupled to Weyl tensor in a Schwarzschild black hole
• Charging the Johannsen-Psaltis spacetime
• The static charged black holes with Weyl corrections
• Vacuum polarization effects in the background of a deformed compact object and implications for photon velocity
• The non-Kerr black hole with acceleration