MELO, Édypo Ribeiro de.; BRITO, Francisco de Assis de.
Abstract:
The present work aimed at to investigate solutions of black hole type via equations of first order
considering firstly the vacuum solution in which only the gravitational field plays a significant role. In High
Energy Physics, the black holes theories in supergravity play a key role in the analysis and understanding
of quantum gravity. Thus, a general solution obtained for solving situations involving static black holes
with mass and no electric charge was used. It was found that the scalar potential V(f) found via general
solution, given in terms of superpotencial W, took different forms for different values of the parameter α
present in the f term, mainly for values of α -1, taking into account that for this case graphs that describe
the phase transitions of first and second order were obtained.
