4D AdS Gauss-Bonnet Black Holes in presence of cloud of strings with harmonic horizons countless
Year: 2021
Type: preprint
Abstract: By looking at the Lovelock theorem one can infer that the gravity model given by \cite{Glav} could not applicable for all type of 4D Einstein Gauss Bonnet (GB) curved spacetimes. Hence, authors in the work \cite{ali} presented an alternative gravity model instead of \cite{Glav} by applying break of diffeomorphism property. In this work we investigate \cite{ali} to obtain line element of a 4D AdS GB spherically symmetric static black hole metric which is surrounded by cloud of string. We apply Frobenius`s method to give two different kinds of convergent series solutions for the metric field components by solving linear order Euler Lagrange equations. To do so we consider two class of solutions for positive and negative numeric values of the regular GB coupling constant $\tilde{\alpha}=(D-4)\alpha_{GB}$ in which $D$ is number of spacetime dimensions. Mathematical derivations predict infinite number of horizons instead of one horizon which is appear in usual way. This is because the metric solution in large distances behaves asymptotically as sine and cosine trigonometric functions for $\tilde{\alpha} 0.$ In our solutions the cosmological constant is not additional unknown parameter but it is created as inverse of the GB parameter $\tilde{\alpha}$.
Source: arXiv (Cornell University)
Author: Hossein Ghaffarnejad
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3164517993