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Non-rotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction (for large horizon areas) given by the logarithm of the area with a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashok Chatterjee , Parthasarathi Majumdar

In this short essay we review the arguments showing that black hole entropy is, at least in part, ``entanglement entropy", i.e., missing information contained in correlations between quantum field fluctuations inside and outside the event…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ted Jacobson

Modifications of the Bekenstein-Hawking area law for black holes are crucial in order to find agreement between the microscopic entropy based on state counting and the macroscopic entropy based on an effective field theory computation. We…

High Energy Physics - Theory · Physics 2008-11-26 Gabriel Lopes Cardoso , Bernard de Wit , Thomas Mohaupt

Interior volume within the horizon of a black hole is a non-trivial concept which turns out to be very important to explain several issues in the context of quantum nature of black hole. Here we show that the entropy, contained by the {\it…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Bibhas Ranjan Majhi , Saurav Samanta

Conformal loop quantum gravity provides an approach to loop quantization through an underlying conformal structure i.e. conformally equivalent class of metrics. The property that general relativity itself has no conformal invariance is…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Olivier J. Veraguth , Charles H. -T. Wang

One quantum characterization of a black hole motivated by (local) holography and thermodynamics is that it maximizes thermodynamic entropy for a given surface area. In the context of quantum gravity, this could be more fundamental than the…

High Energy Physics - Theory · Physics 2025-01-29 Yuki Yokokura

Using the quasilocal properties alone we show that the area spectrum of a black hole horizon must be discrete, independent of any specific quantum theory of gravity. The area spectrum is found to be half-integer spaced with values $8\pi…

General Relativity and Quantum Cosmology · Physics 2020-07-31 Ayan Chatterjee , Amit Ghosh

Black hole thermodynamics suggests that a black hole should have an entropy given by a quarter of the area of its horizon. Earlier calculations in U(1) loop quantum gravity have led to a dominant term proportional to the area, but there was…

General Relativity and Quantum Cosmology · Physics 2012-05-17 P. Mitra

We use the combinatorial and number-theoretical methods developed in previous work by the authors to study black hole entropy in the new proposal put forward by Engle, Noui and Perez. Specifically we give the generating functions relevant…

General Relativity and Quantum Cosmology · Physics 2009-10-07 Ivan Agullo , J. Fernando Barbero G. , Enrique F. Borja , Jacobo Diaz-Polo , Eduardo J. S. Villaseñor

We examine whether renormalization effects can cause Newton's constant to change dramatically with energy, perhaps even reducing the scale of quantum gravity to the TeV region without the introduction of extra dimensions. We examine a model…

High Energy Physics - Theory · Physics 2008-11-26 Xavier Calmet , Stephen D. H. Hsu , David Reeb

In the loop approach to quantum gravity the spectra of operators corresponding to such geometrical quantities as length, area and volume become quantized. However, the size of arising quanta of geometry in Planck units is not fixed by the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Kirill Krasnov

Several properties of canonical quantum gravity modify space-time structures, sometimes to the degree that no effective line elements exist to describe the geometry. An analysis of solutions, for instance in the context of black holes, then…

General Relativity and Quantum Cosmology · Physics 2011-11-04 Martin Bojowald , George M. Paily , Juan D. Reyes , Rakesh Tibrewala

The approximate renormalized one-loop effective action of the quantized massive scalar, spinor and vector field in a large mass limit, i.e., the lowest order of the DeWitt-Schwinger expansion involves the coincidence limit of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jerzy Matyjasek

Einstein's general theory of relativity poses many problems to the quantum theory of point particle fields. Among them is the fate of a massive point particle. Since its rest mass exists entirely within its Schwarzschild radius, in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. L. Ward

We present a semi-rigorous justification of Bekenstein's Generalized Second Law of Thermodynamics applicable to a universe with black holes present, based on a generic quantum gravity formulation of a black hole spacetime, where the bulk…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Parthasarathi Majumdar

Popular approaches to quantum gravity describe black hole microstates differently and apply different statistics to count them. Since the relationship between the approaches is not clear, this obscures the role of statistics in calculating…

General Relativity and Quantum Cosmology · Physics 2009-04-12 Cenalo Vaz , L. C. R. Wijewardhana

We compute the entropy of non-extremal black holes using the quantum dynamics of Loop Gravity. The horizon entropy is finite, scales linearly with the area A, and reproduces the Bekenstein-Hawking expression S = A/4 with the one-fourth…

General Relativity and Quantum Cosmology · Physics 2012-04-24 Eugenio Bianchi

We study the ultraviolet divergent structures of the matter (scalar) field in a higher D-dimensional Reissner-Nordstr\"{o}m black hole and compute the matter field contribution to the Bekenstein-Hawking entropy by using the Pauli-Villars…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We discuss semiclassical states in quantum gravity corresponding to Schwarzschild as well as Reissner Nordstr\"om black holes. We show that reduced quantisation of these models is equivalent to Wheeler-DeWitt quantisation with a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-28 T. Brotz , C. Kiefer

The combinatorial problem of counting the black hole quantum states within the Isolated Horizon framework in Loop Quantum Gravity is analyzed. A qualitative understanding of the origin of the band structure shown by the degeneracy spectrum,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ivan Agullo , Jacobo Diaz-Polo , Enrique Fernandez-Borja