Black holes within the Kerr-Schild formulation
Black holes, Kerr-Schild, Schwarzschild, Kerr
The so-called Kerr-Schild ansatz plays a prominent role in obtaining exact solutions of Einstein’s field equations in the contexts of relativistic astrophysics and cosmology. The method was first formulated and published by Roy P. Kerr in 1965, almost half a century after the Schwarzschild static solution, while looking for solutions for the gravitational field of a spherical rotating object. The Kerr-Schild metric can be expressed in the form ˆgμν = gμν + 2Hlμlν , where gμν is a background metric that satisfying Einstein’s equations in vacuum, H is a scalar function, and lμ is a null vector field. The aim of this work is to build and present black hole solutions within the framework of the Kerr-Schild formulation