Volume 110, Number 3, May 2015
|Number of page(s)||6|
|Published online||19 May 2015|
A note on the fuzzy sphere area spectrum, black-hole luminosity and the quantum nature of spacetime
1 Institute for Gravitation and the Cosmos & Physics Department, The Pennsylvania State University University Park, PA 16802, USA
2 Departamento de Física - Universidade Federal do Ceará (UFC), Campus do Pici - C.P. 6030, 60455-760 Fortaleza, Ceará, Brazil
3 Instituto Federal de Educação, Ciência e Tecnologia da Paraíba(IFPB), Campus Campina Grande Rua Tranquilino Coelho Lemos, 671, Jardim Dinamérica I, Campina Grande, Paraíba, Brazil
Received: 11 March 2015
Accepted: 27 April 2015
Noncommutative corrections to the classical expression for the fuzzy sphere area are found out through the asymptotic expansion for its heat kernel trace. As an important consequence, some quantum gravity deviations in the luminosity of black holes must appear. We calculate these deviations for a static, spherically symmetric, black hole with a horizon modeled by a fuzzy sphere. The results obtained could be verified through the radiation of black holes formed in the Large Hadron Collider (LHC).
PACS: 04.60.-m – Quantum gravity / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.50.Kd – Modified theories of gravity
© EPLA, 2015
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