scholarly journals Microscopic entropy of trapping horizon

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Mikhail Z. Iofa
Keyword(s):  
Trapping Horizon

NO 3D BLACK HOLE THEOREM FOR TRAPPING HORIZON

2002 ◽  
pp. 1583-1584
Author(s):  
DAISUKE IDA
Keyword(s):  
Black Hole ◽  
3D Black Hole ◽  
Trapping Horizon

scholarly journals Quantum Gravity Correction to Hawking Radiation of the 2+1-Dimensional Wormhole

2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Ganim Gecim ◽  
Yusuf Sucu
Keyword(s):  
Gordon Equation ◽  
Vector Boson ◽  
Generalized Uncertainty Principle ◽  
Tunneling Probability ◽  
Hawking Temperature ◽  
Positive Temperature ◽  
Klein Gordon ◽  
Modified Dirac Equation ◽  
Trapping Horizon ◽  
Klein Gordon Equation

We carry out the Hawking temperature of a 2+1-dimensional circularly symmetric traversable wormhole in the framework of the generalized uncertainty principle (GUP). Firstly, we introduce the modified Klein-Gordon equation of the spin-0 particle, the modified Dirac equation of the spin-1/2 particle, and the modified vector boson equation of the spin-1 particle in the wormhole background, respectively. Given these equations under the Hamilton-Jacobi approach, we analyze the GUP effect on the tunneling probability of these particles near the trapping horizon and, subsequently, on the Hawking temperature of the wormhole. Furthermore, we have found that the modified Hawking temperature of the wormhole is determined by both wormhole’s and tunneling particle’s properties and indicated that the wormhole has a positive temperature similar to that of a physical system. This case indicates that the wormhole may be supported by ordinary (nonexotic) matter. In addition, we calculate the Unruh-Verlinde temperature of the wormhole by using Kodama vectors instead of time-like Killing vectors and observe that it equals to the standard Hawking temperature of the wormhole.

scholarly journals UNIFIED FIRST LAW AND THERMODYNAMICS OF DYNAMICAL BLACK HOLE IN n-DIMENSIONAL VAIDYA SPACETIME

2008 ◽  
Vol 23 (38) ◽  
pp. 3265-3270 ◽  
Author(s):  
JI-RONG REN ◽  
RAN LI
Keyword(s):  
Black Hole ◽  
Field Equation ◽  
Second Law ◽  
Trapping Horizon

As a simple but important example of dynamical black hole, we analyze the dynamical black hole in n-dimensional Vaidya spacetime in detail. We investigated the thermodynamics of field equation in n-dimensional Vaidya spacetime. The unified first law was derived in terms of the methods proposed by Hayward. The first law of dynamical black hole was obtained by projecting the unified first law along the trapping horizon. The second law of dynamical black hole is also discussed.

scholarly journals From uneventful Horizon to firewall in D-dimensional effective theory

2021 ◽  
pp. 2150145
Author(s):  
Pei-Ming Ho
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Effective Field ◽  
Effective Theory ◽  
Spherically Symmetric ◽  
Higher Derivative ◽  
Trapping Horizon

Assuming the standard effective-field-theoretic formulation of Hawking radiation, we show explicitly how a generic effective theory predicts a firewall from an initially uneventful horizon for a spherically symmetric, uncharged black hole in [Formula: see text] dimensions for [Formula: see text]. The firewall is created via higher-derivative interactions within the scrambling time after the collapsing matter enters the trapping horizon. This result manifests the trans-Planckian problem of Hawking radiation and demonstrates the incompatibility between Hawking radiation and the uneventful horizon.

scholarly journals Field dynamics on the trapping horizon in Vaidya spacetime

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Abhishek Majhi
Keyword(s):  
Trapping Horizon

scholarly journals Temperature and entropy–area relation of quantum matter near spherically symmetric outer trapping horizons

2021 ◽  
Vol 111 (4) ◽  
Author(s):  
Fiona Kurpicz ◽  
Nicola Pinamonti ◽  
Rainer Verch
Keyword(s):  
Black Hole ◽  
Vector Field ◽  
Cross Section ◽  
Scaling Limit ◽  
Surface Gravity ◽  
Spherically Symmetric ◽  
Quantum Field ◽  
Point Function ◽  
Limit Theory ◽  
Trapping Horizon

AbstractWe consider spherically symmetric spacetimes with an outer trapping horizon. Such spacetimes are generalizations of spherically symmetric black hole spacetimes where the central mass can vary with time, like in black hole collapse or black hole evaporation. While these spacetimes possess in general no timelike Killing vector field, they admit a Kodama vector field which in some ways provides a replacement. The Kodama vector field allows the definition of a surface gravity of the outer trapping horizon. Spherically symmetric spacelike cross sections of the outer trapping horizon define in- and outgoing lightlike congruences. We investigate a scaling limit of Hadamard 2-point functions of a quantum field on the spacetime onto the ingoing lightlike congruence. The scaling limit 2-point function has a universal form and a thermal spectrum with respect to the time parameter of the Kodama flow, where the inverse temperature $$\beta = 2\pi /\kappa $$ β = 2 π / κ is related to the surface gravity $$\kappa $$ κ of the horizon cross section in the same way as in the Hawking effect for an asymptotically static black hole. Similarly, the tunnelling probability that can be obtained in the scaling limit between in- and outgoing Fourier modes with respect to the time parameter of the Kodama flow shows a thermal distribution with the same inverse temperature, determined by the surface gravity. This can be seen as a local counterpart of the Hawking effect for a dynamical horizon in the scaling limit. Moreover, the scaling limit 2-point function allows it to define a scaling limit theory, a quantum field theory on the ingoing lightlike congruence emanating from a horizon cross section. The scaling limit 2-point function as well as the 2-point functions of coherent states of the scaling limit theory is correlation-free with respect to separation along the horizon cross section; therefore, their relative entropies behave proportional to the cross-sectional area. We thus obtain a proportionality of the relative entropy of coherent states of the scaling limit theory and the area of the horizon cross section with respect to which the scaling limit is defined. Thereby, we establish a local counterpart, and microscopic interpretation in the setting of quantum field theory on curved spacetimes, of the dynamical laws of outer trapping horizons, derived by Hayward and others in generalizing the laws of black hole dynamics originally shown for stationary black holes by Bardeen, Carter and Hawking.

scholarly journals The spatial relation between the event horizon and trapping horizon

2010 ◽  
Vol 27 (24) ◽  
pp. 245016 ◽  
Author(s):  
Alex B Nielsen
Keyword(s):  
Event Horizon ◽  
Spatial Relation ◽  
Trapping Horizon

scholarly journals BLACK HOLES WITHOUT BOUNDARIES

2008 ◽  
Vol 17 (13n14) ◽  
pp. 2359-2366 ◽  
Author(s):  
ALEX B. NIELSEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Hawking Radiation ◽  
Information Loss ◽  
Black Hole Thermodynamics ◽  
Event Horizons ◽  
Central Singularity ◽  
Trapping Horizon ◽  
Trapping Horizons

We discuss some of the drawbacks of using event horizons to define black holes and suggest ways in which black holes can be described without event horizons, using trapping horizons. We show that these trapping horizons give rise to thermodynamic behavior and possibly Hawking radiation too. This raises the issue of whether the event horizon or the trapping horizon should be seen as the true boundary of a black hole. This difference is important if we believe that quantum gravity will resolve the central singularity of the black hole and clarifies several of the issues associated with black hole thermodynamics and information loss.

scholarly journals Trapping horizon and negative energy

2019 ◽  
Vol 2019 (6) ◽  
Author(s):  
Pei-Ming Ho ◽  
Yoshinori Matsuo
Keyword(s):  
Negative Energy ◽  
Trapping Horizon

scholarly journals A study of different horizons in inhomogeneous LTB cosmological model

2015 ◽  
Vol 30 (09) ◽  
pp. 1550024 ◽  
Author(s):  
Subenoy Chakraborty ◽  
Subhajit Saha
Keyword(s):  
Cosmological Model ◽  
Comparative Study ◽  
Apparent Horizon ◽  
The Other ◽  
Frw Model ◽  
Distinct Character ◽  
The Comparative Study ◽  
Trapping Horizon

This work deals with a detailed study of the dynamics of the apparent, event and particle horizons in the background of the inhomogeneous LTB spacetime. The comparative study among these horizons shows a distinct character for apparent horizon compared to the other horizons. The apparent horizon will be a trapping horizon if its acceleration is positive. The Kodama vector is also defined and its causal character is found to be similar to that in the FRW model.

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