SILVA, A. T. N.; http://lattes.cnpq.br/8415250312070527; SILVA, Anderson Tiago Nascimento da.
Résumé:
The metric obtained by Ba˜nados-Teitelboim-Zanelli (BTZ) was discovered seeing
the three-dimensional equivalence between gravitation and the Chern-Simons theory, a
topological three-dimensional theory along with the Seiberg-Witter mapping, in which
its solution is described in (2 + 1) -dimensions and its solution works with negative
cosmological constant, an important field of investigation. In this work, we will consider
the minimum radius of a surface density obtained from the hydrogen atom to analyze
certain thermodynamic properties, such as Hawking temperature, entropy and heat
capacity, comparing our results with those related to a non-commutative BTZ hole, so
we can see if such effects are valid in this type of mass distribution or if they violate the
thermodynamics laws. The geodesic structure of the BTZ minimum length black holes
for massless and massive particles is discussed as well.
