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Entropy of a black hole
This was not for a four dimensional black hole, but a rotating five dimensional black hole in Kaluza-Klein theory.
The bound is closely associated with black hole thermodynamics, the holographic principle and the covariant entropy bound of quantum gravity, and can be derived from a conjectured strong form of the latter. An average human brain has a mass of 1.5 kg and a volume of 1260 cm 3. Black hole thermodynamicsQuantum degrees of freedom of a region of spacetime“Golden Oldie”: On the Gravitational Field of a Mass Point According to Einstein's TheoryBlog posts, news articles and tweet counts and IDs sourced byBy clicking accept or continuing to use the site, you agree to the terms outlined in our After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the semi-classical radiation spectrum of a black hole, involving a thermal (Planckian) factor. Every object has some amount of entropy. There are a number of similarities between black-hole physics and thermodynamics. Which one has greater entropy? Stack Exchange Network. Although Hawking's calculations gave further thermodynamic evidence for black-hole entropy, until 1995 no one was able to make a controlled calculation of black-hole entropy based on For perturbations of stationary black holes, the change of energy is related to change of area, angular momentum, and electric charge by reproduce the entropy of all black holes, but this argument does not reproduce the entropy exactly. It is not possible to form a black hole with vanishing surface gravity. The fact that the black-hole entropy is also the maximal entropy that can be obtained by the Bekenstein bound (wherein the Bekenstein bound becomes an equality) was the main observation that led to the holographic principle. Analogously, the The generalized second law of thermodynamics (GSL) was needed to present the second law of thermodynamics as valid. Thus, two black holes with the same area must have the same entropy, since otherwise one could violate the second law by Penrose processes. Black Hole Entropy: Microscopic vs. Microscopic∗ Yang Zhang Abstract: This is a brief review of the basic aspects of the black hole entropy in the viewpoint of genereal relativity and string theory. There are also connections between black-hole entropy and fluid Area of physical study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons
Because a black hole formation is not stationary, but instead moving, proving that the GSL holds is difficult.
Since the Schwarzschild \time" coordinate t goes to inflnity at the event horizon, these coordinates are That is, The second law is the statement of Hawking's area theorem. Human brain. environment. The second law of thermodynamics says that entropy of a system either stays constant or increases - it never decreases.
Proving the GSL is generally valid would require using The four laws of black-hole mechanics suggest that one should identify the surface gravity of a black hole with temperature and the area of the event horizon with entropy, at least up to some multiplicative constants. ’s A exam report.
In fact I am doing work which involves an isomorphism between black hole types, such as BPS and extremal black holes…
Presenatation for PHYS 7683, partially based on Y.Z. For entropy, it is indeed true that merging a black hole (of mass M and entropy S) with another equal mass black hole (of mass M and entropy S) will give you a new black hole …
Figure 1.1: Diagram of the positive mass EF spacetime, suppressing the angular coordinates, with constant r surfaces vertical and constant v surfaces at 45–.
Recently a precise calculation of the entropy of a neutral black hole in string theory was achieved (Emparan and GH, 2006). r=0 M 3M 4M 5M v = const. In this paper we make this similarity the basis of a thermodynamic approach to black-hole physics. collapsing shell Figure 1.2: Picture of a black hole that forms from a collapsing shell of matter. (2.2) This "law" was superseded by Hawking's discovery that black holes radiate, which causes both the black hole's mass and the area of its horizon to decrease over time.
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