Generating Static Spherically Symmetric Black-holes in Lovelock Gravity

Understand

Generalization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented.

• Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension $N$ yield all the solutions known to date with an energy-momentum.
• In our generalization, with special emphasis on the third order Lovelock gravity, we have found two different class of solutions characterized by the matter field parameter.
• Several particular cases are studied and properties related to asymptotic behaviours are discussed.