scholarly journals A Mathematical Interpretation of Hawking’s Black Hole Theory by Ricci Flow*

2017 ◽  
Vol 05 (02) ◽  
pp. 321-328
Author(s):  
Qiaofang Xing ◽  
Xiang Gao
Keyword(s):  
Black Hole ◽  
Ricci Flow ◽  
Hole Theory ◽  
Mathematical Interpretation

scholarly journals Organizational Black Hole Theory

2020 ◽  
Vol 33 (1) ◽  
pp. 27-56
Author(s):  
Farajollah Rahnavard ◽  
Keyword(s):  
Black Hole ◽  
Hole Theory

scholarly journals Generic Lightlike Submanifolds of an Indefinite Cosymplectic Manifold

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Dae Ho Jin ◽  
Jae Won Lee
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Physical Models ◽  
Hole Theory ◽  
Cosymplectic Manifold ◽  
Definition Of ◽  
Lightlike Submanifolds ◽  
Lightlike Hypersurfaces ◽  
Killing Horizons

Lightlike geometry has its applications in general relativity, particularly in black hole theory. Indeed, it is known that lightlike hypersurfaces are examples of physical models of Killing horizons in general relativity (Galloway, 2007). In this paper, we introduce the definition of generic lightlike submanifolds of an indefinite cosymplectic manifold. We investigate new results on a class of generic lightlike submanifolds of an indefinite cosymplectic manifold .

Research of Immune Network Defense System Based on Black Hole Theory

2014 ◽  
Vol 543-547 ◽  
pp. 3023-3028
Author(s):  
Shao Jing Zhou
Keyword(s):  
Black Hole ◽  
Situation Awareness ◽  
Control Method ◽  
Defense System ◽  
Artificial Immune ◽  
Hole Theory ◽  
Network Defense ◽  
Active Defense ◽  
Radiation Theory ◽  
Defense Technology

Active defense technology may predict future attack situation and detect unknown attacks, but it has many questions to will be researched: vulnerability, lower mal-ware detection rate, security situation awareness technology has faced problem of inter-organization cooperation, real-time response, correlation analysis, high-load low fault tolerance. Artificial immune technology combines with active defense technology to solve integrated artificial immune security situation awareness system with artificial immune technology and active defense technology by Black Hole theory and for diversification ad development characteristics of the artificial immune and active defense, gives a method about simulating Black Hole accretion theory to achieve absorption and utilization a variety of security and virus technology; a no escaped mechanism simulate the Black Hole; a method about access control method based on Hawking radiation theory. Based on the above work, applies virtual and sandbox technology to achieve network system itself virus immunity, and then that we implement re-engineering and reverse engineering for virus technology in order to study virus and dig more holes, create unified integrated defense tactics, so this defense system will improve ability of situation comprehension, situation prediction and intelligence decision.

scholarly journals Renormalized volume and the evolution of APEs

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Eric Bahuaud ◽  
Rafe Mazzeo ◽  
Eric Woolgar
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Ricci Flow ◽  
Einstein Metrics ◽  
Conformal Anomaly ◽  
Free Energies ◽  
Schwarzschild Black Hole ◽  
Regularization Technique ◽  
Volume Functional ◽  
Normalized Ricci Flow

AbstractWe study the evolution of the renormalized volume functional for even-dimensional asymptotically Poincaré-Einstein metrics (M, g) under normalized Ricci flow. In particular, we prove thatwhere S(g(t)) is the scalar curvature for the evolving metric g(t). This implies that if S +n(n − 1) ≥ 0 at t = 0, then RenV(Mn , g(t)) decreases monotonically. For odd-dimensional asymptotically Poincaré-Einstein metrics with vanishing obstruction tensor,we find that the conformal anomaly for these metrics is constant along the flow. We apply our results to the Hawking-Page phase transition in black hole thermodynamics.We compute renormalized volumes for the Einstein 4-metrics sharing the conformal infinity of an AdS-Schwarzschild black hole. We compare these to the free energies relative to thermal hyperbolic space, as originally computed by Hawking and Page using a different regularization technique, and find that they are equal.

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