On thermodynamics of 2D black holes in brane inflationary potentials

Abstract

Inspired from the inflation brane world cosmology, we study the thermodynamics of a black hole solution in two dimensional dilaton gravity with an arctangent potential background. We first derive the two dimensional black hole geometry, then we examine its asymptotic behaviors. More precisely, we find that such behaviors exhibit properties appearing in some known cases including the Anti de Sitter and the Schwarzchild black holes. Using the complex path method, we compute the Hawking radiation. The entropy function can be related to the value of the potential at the horizon.

Fermionic greybody factors of two and five-dimensional dilatonic black holes

“…Furthermore, technical simplifications in two dimensions often lead to exact results, and it is hoped that this might helps to address some of the conceptual problems posed by quantum gravity in higher dimensions. The exact solvability of twodimensional models of gravity have proven to be a useful a e-mail: rbecar@uct.cl b e-mail: pablo.gonzalez@udp.cl c e-mail: yvasquez@userena.cl tool for investigations into black hole thermodynamics [4][5][6][7][8][9]. Such investigations are hoped to provide a deeper understanding of key issues; including the microscopic origin of black hole entropy [10][11][12], and the end point of black hole evaporation via thermal radiation [13][14][15].…”

Greybody factors of massive charged fermionic fields in a charged two-dimensional dilatonic black hole

“…Furthermore, technical simplifications in two dimensions often lead to exact results, and it is hoped that this might help to address some of the conceptual problems posed by quantum gravity in higher dimensions. The exact solvability of two-dimensional models of gravity has been a useful tool for research in black hole thermodynamics [4][5][6][7][8][9]. Such lines of research are provided to give deeper understanding of some key issues, including the microscopic origin of the black hole entropy [10][11][12], and the final stages of black hole evaporation [13][14][15].…”