scholarly journals Particle absorption by black holes and the generalized second law of thermodynamics

2009 ◽  
Vol 466 (2116) ◽  
pp. 1155-1166 ◽  
Author(s):  
Scott Funkhouser
Keyword(s):  
Black Hole ◽  
Cross Section ◽  
Probability Function ◽  
Second Law Of Thermodynamics ◽  
Quantum Mechanical ◽  
Statistical Interpretation ◽  
Schwarzschild Black Hole ◽  
Particle Absorption ◽  
Generalized Second Law ◽  
Fundamental Physical

The change in entropy, Δ S , associated with the quasi-static absorption of a particle of energy ε by a Schwarzschild black hole (ScBH) is approximately ( ε / T )− s , where T is the Hawking temperature of the black hole and s is the entropy of the particle. Motivated by the statistical interpretation of entropy, it is proposed here that the absorption should be suppressed, but not forbidden, when Δ S <0, which requires the absorption cross section to be sensitive to Δ S . A purely thermodynamic formulation of the probability for the absorption is obtained from the standard relationship between microstates and entropy. If Δ S ≫1 and s ≪ ε / T , then the probability for the particle not to be absorbed is approximately exp[− ε / T ], which is identical to the probability for quantum mechanical reflection by the horizon of an ScBH. The manifestation of quantum behaviours in the new probability function may intimate a fundamental physical unity between thermodynamics and quantum mechanics.

scholarly journals A proof of the strong cosmic censorship conjecture

2020 ◽  
Vol 29 (14) ◽  
pp. 2042003
Author(s):  
Shahar Hod
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Second Law Of Thermodynamics ◽  
Cosmic Censorship ◽  
Necessary Condition ◽  
Deterministic Theory ◽  
Black Hole Spacetimes ◽  
Generalized Second Law ◽  
Strong Cosmic Censorship ◽  
Cosmic Censorship Conjecture

The Penrose strong cosmic censorship conjecture asserts that Cauchy horizons inside dynamically formed black holes are unstable to remnant matter fields that fall into the black holes. The physical importance of this conjecture stems from the fact that it provides a necessary condition for general relativity to be a truly deterministic theory of gravity. Determining the fate of the Penrose conjecture in nonasymptotically flat black hole spacetimes has been the focus of intense research efforts in recent years. In this paper, we provide a remarkably compact proof, which is based on Bekenstein’s generalized second law of thermodynamics, for the validity of the intriguing Penrose conjecture in physically realistic (dynamically formed) curved black hole spacetimes.

scholarly journals THERMODYNAMICS OF A SCHWARZSCHILD BLACK HOLE IN PHANTOM COSMOLOGY WITH ENTROPY CORRECTIONS

2012 ◽  
Vol 21 (07) ◽  
pp. 1250065 ◽  
Author(s):  
MUBASHER JAMIL ◽  
D. MOMENI ◽  
KAZUHARU BAMBA ◽  
RATBAY MYRZAKULOV
Keyword(s):  
Black Hole ◽  
Power Law ◽  
Phantom Energy ◽  
Upper Bounds ◽  
Quantum Corrections ◽  
Second Law ◽  
Schwarzschild Black Hole ◽  
Frw Universe ◽  
Generalized Second Law ◽  
Entropy Corrections

Motivated by some earlier works [G. Izquierdo and D. Pavon, Phys. Lett. B 639 (2006) 1; H. M. Sadjadi, Phys. Lett. B 645 (2007) 108.] dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black hole accreting a test nonself-gravitating fluid namely phantom energy in FRW universe, we extend them when the entropy of horizons of black hole and the cosmological undergo quantum corrections. Two types of such corrections are relevant here including logarithmic and power-law, while both are motivated from different theoretical backgrounds. We obtain general mathematical conditions for the validity of GSL in each case. Further we find that GSL restricts the mass of black hole for accretion of phantom energy. As such we obtain upper bounds on the mass of black hole above which the black hole cannot accrete the phantom fluid, otherwise the GSL is violated.

scholarly journals Fermion absorption cross section of a Schwarzschild black hole

2005 ◽  
Vol 71 (12) ◽  
Author(s):  
Chris Doran ◽  
Anthony Lasenby ◽  
Sam Dolan ◽  
Ian Hinder
Keyword(s):  
Black Hole ◽  
Cross Section ◽  
Absorption Cross Section ◽  
Absorption Cross ◽  
Schwarzschild Black Hole

ABSORPTION CROSS-SECTION AND EMISSION SPECTRA OF SCHWARZSCHILD BLACK HOLE IN DIRAC FIELD

2008 ◽  
Vol 23 (33) ◽  
pp. 2867-2879 ◽  
Author(s):  
R. SINI ◽  
V. C. KURIAKOSE
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Cross Section ◽  
Absorption Cross Section ◽  
Emission Spectra ◽  
Dirac Field ◽  
Absorption Cross ◽  
Schwarzschild Black Hole ◽  
Matter Waves ◽  
Black Hole Spacetime

The behavior of a Dirac field in a Schwarzschild black hole spacetime is studied. In this work the Hawking temperature and the absorption cross-section for Schwarzschild black hole placed in Dirac field are calculated, taking into consideration the matter waves reflected from the event horizon. The absorption cross-section σ abs in Dirac field is found to be ⅛ of absorption cross-section in scalar field. The emission spectra of Schwarzschild black hole placed in an environment of Dirac field is also obtained.

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