scholarly journals Schwarzschild black hole states and entropies on a nice slice

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
J. A. Rosabal
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Pure State ◽  
Entanglement Entropy ◽  
The State ◽  
Schwarzschild Black Hole ◽  
Complex Time ◽  
Strong Curvature

AbstractIn this work, we define a quantum gravity state on a nice slice. The nice slices provide a foliation of spacetime and avoid regions of strong curvature. We explore the topology and the geometry of the manifold obtained from a nice slice after evolving it in complex time. We compute its associated semiclassical thermodynamics entropy for a 4d Schwarzschild black hole. Despite the state one can define on a nice slice is not a global pure state, remarkably, we get a similar result to Hawking’s calculation. In the end, we discuss the entanglement entropy of two segments on a nice slice and comment on the relation of this work with the replica wormhole calculation.

Effect of post-Newtonian-like self-energy, quantum gravity and exchange correlations on Schwarzschild black hole: Application of uncertainty principle

2020 ◽  
Vol 35 (11) ◽  
pp. 2050081
Author(s):  
Baljeet Kaur Lotte ◽  
Subodha Mishra
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Correlation Energy ◽  
Particle System ◽  
Gravitational Interaction ◽  
Schwarzschild Black Hole ◽  
Loop Contribution ◽  
Exchange Correlation ◽  
Self Energy ◽  
Energy Quantum

The expressions for the corrected radius and the Hawking temperature of a Schwarzschild black hole are derived by calculating the total energy of a self-gravitating system of N fermions when the corrections to gravitational interaction due to post-Newtonian-like self-energy due to two graviton exchange- and one-loop contribution of quantum gravity effect are included. Since the particles are fermions, the exchange-correlation energy is also included consistently. It is found that though the three corrections are small, the correction due to the exchange-correlation is much more than the other two. The configuration of the many-particle system that we study is possible since it has no Buchdahl limit in the post-Newtonian approximation.

scholarly journals A Second Law for higher curvature gravity

2015 ◽  
Vol 24 (12) ◽  
pp. 1544014 ◽  
Author(s):  
Aron C. Wall
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Entanglement Entropy ◽  
Black Hole Thermodynamics ◽  
Gravity Theory ◽  
Second Law ◽  
Holographic Entanglement Entropy ◽  
Higher Curvature Gravity ◽  
Complete Quantum

The Second Law of black hole thermodynamics is shown to hold for arbitrarily complicated theories of higher curvature gravity, so long as we allow only linearized perturbations to stationary black holes. Some ambiguities in Wald’s Noether charge method are resolved. The increasing quantity turns out to be the same as the holographic entanglement entropy calculated by Dong. It is suggested that only the linearization of the higher curvature Second Law is important, when consistently truncating a UV-complete quantum gravity theory.

scholarly journals Accretion disk around a Schwarzschild black hole in asymptotic safety

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Fabián H. Zuluaga ◽  
Luis A. Sánchez
Keyword(s):  
Black Hole ◽  
Thermal Properties ◽  
Quantum Gravity ◽  
Schwarzschild Black Hole ◽  
Spacetime Geometry ◽  
Black Hole Candidate ◽  
Stable Circular Orbit ◽  
Gravity Effects ◽  
Relativistic Regime ◽  
Higher Derivatives

AbstractWe study quantum gravity effects on radiation properties of thin accretion disks around a renormalization group improved (RGI-) Schwarzschild black hole. In the infrared (IR) limit of the asymptotically safe theory with higher derivatives, the running Newton coupling G(r) depends on a free parameter which encodes the quantum effects on the spacetime geometry. By varying this parameter, modifications to thermal properties of the disk as the time averaged energy flux, the disk temperature, the differential luminosity, and the conversion efficiency of accreting mass into radiation, are obtained. In addition to a shifting of the radius of the innermost stable circular orbit (ISCO) toward small values, we find an increase of the maximum values of these thermal properties and a greater efficiency than in the classical relativistic regime. We discuss astrophysical applications of these results by using observational data of the stellar-mass black hole candidate LMC X-3. Our findings could, in principle, be used to identify quantum gravity effects through astrophysical observations.

scholarly journals NARIAI BLACK HOLES WITH QUINTESSENCE

2013 ◽  
Vol 28 (40) ◽  
pp. 1350189 ◽  
Author(s):  
SHARMANTHIE FERNANDO
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
State Parameter ◽  
The State ◽  
De Sitter ◽  
Schwarzschild Black Hole ◽  
Special Values ◽  
Black Hole Temperature

In this paper we study the properties of Schwarzschild black hole surrounded by quintessence matter. The main objective of the paper is to show the existence of Nariai type black hole for special values of the parameters in the theory. The Nariai black hole with the quintessence has the topology dS2 ×S2 with dS2 with a different curvature than what would be expected for the Schwarzschild–de Sitter degenerate black hole. Temperature and the entropy for the Schwarzschild–de Sitter black hole and the Schwarzschild-quintessence black hole are compared. The temperature and the curvature are computed for general values of the state parameter ω.

scholarly journals Quantum Gravity as Higher Dimensional Perspective

2016 ◽  
Vol 8 (4) ◽  
pp. 38
Author(s):  
Rob Langley
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Single Point ◽  
Planck Scale ◽  
Conceptual Structure ◽  
The State ◽  
Mathematical Principle ◽  
Vanishing Points ◽  
Higher Dimensional ◽  
Single State

Although highly predictive in their respective macroscopic and microscopic domains of applicability, General Relativity and quantum mechanics are mathematically incompatible, perhaps most markedly in assumptions in their formalisms concerning the nature of space and time. In <em>perspective</em> we already have a conceptual structure that links the local, macroscopic frame and the remote, apparently microscopic frame. A mathematical principle is invoked as a natural limit on D(n), so that effects which are clearly perspectival at D=3 become ‘more real’ (<em>effectively</em> observer-independent) with each D(n) increment. For instance, the apparently microscopic becomes the effectively microscopic and <em>scale extremes are juxtaposed</em>, so that black holes are local, macroscopic vanishing-points, in a similar way to that in which in projective geometry the point at infinity is incorporated into the foreground.  (In other words, <em>a black hole is a blown-up ‘Planck-scale’ singularity</em>.) Characteristics of the earthbound frame are applied to D&gt;3, suggesting a physical basis for entanglement, and perspectival interpretations of quantum gravity, dimensional reduction and the information paradox.  We claim that the familiar processes whereby multiple physical states become describable by a single state in which composition information appears to be lost (e.g., ‘falling into a black hole’, the state of quantum linearity, and the state of freefall) are all examples of effective convergence of a space or <em>n</em>-surface to a single point of perspective.

scholarly journals A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes

2020 ◽  
Vol 2020 (07) ◽  
pp. 066-066 ◽  
Author(s):  
Mariam Bouhmadi-López ◽  
Suddhasattwa Brahma ◽  
Che-Yu Chen ◽  
Pisin Chen ◽  
Dong-han Yeom
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Quasinormal Modes ◽  
Schwarzschild Black Hole ◽  
Consistent Model
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