in several approaches to the quantum-gravity problem evidence has emerged of the validity of a 'GUP' (a generalized position-momentum uncertainty principle) and/or a'MDR'(a modification of the energy-momentum dispersion relation), but very little is known about the implications of GUPs and MDRs for black-hole thermodynamics, another key topic for quantum-gravity research. We investigate an apparent link, already suggested in an earlier exploratory study involving two of us, between the possibility of a GUP and/or an MDR and the possibility of a log term in the area-entropy black-hole formula. We then obtain, from that same perspective, a modified relation between the mass of a black hole and its temperature, and we examine the validity of the'generalized second law of black-hole thermodynamics' in theories with a GUP and/or an MDR. After an analysis of GUP- and MDR-modifications of the black-body radiation spectrum, we conclude the study with a description of the black-hole evaporation process.
Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles / AMELINO-CAMELIA, Giovanni; Michele, Arzano; Yi, Ling; Mandanici, Gianluca. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 23:7(2006), pp. 2585-2606. [10.1088/0264-9381/23/7/022]
Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
AMELINO-CAMELIA, Giovanni;MANDANICI, Gianluca
2006
Abstract
in several approaches to the quantum-gravity problem evidence has emerged of the validity of a 'GUP' (a generalized position-momentum uncertainty principle) and/or a'MDR'(a modification of the energy-momentum dispersion relation), but very little is known about the implications of GUPs and MDRs for black-hole thermodynamics, another key topic for quantum-gravity research. We investigate an apparent link, already suggested in an earlier exploratory study involving two of us, between the possibility of a GUP and/or an MDR and the possibility of a log term in the area-entropy black-hole formula. We then obtain, from that same perspective, a modified relation between the mass of a black hole and its temperature, and we examine the validity of the'generalized second law of black-hole thermodynamics' in theories with a GUP and/or an MDR. After an analysis of GUP- and MDR-modifications of the black-body radiation spectrum, we conclude the study with a description of the black-hole evaporation process.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.