scholarly journals The uniqueness theorem for rotating black hole solutions of self-gravitating harmonic mappings

1995 ◽  
Vol 12 (8) ◽  
pp. 2021-2035 ◽  
Author(s):  
Markus Heusler
Keyword(s):  
Black Hole ◽  
Uniqueness Theorem ◽  
Harmonic Mappings ◽  
Rotating Black Hole ◽  
The Uniqueness Theorem ◽  
Black Hole Solutions

scholarly journals Rotating black hole solutions with quintessential energy

2017 ◽  
Vol 132 (2) ◽  
Author(s):  
Bobir Toshmatov ◽  
Zdeněk Stuchlík ◽  
Bobomurat Ahmedov
Keyword(s):  
Black Hole ◽  
Rotating Black Hole ◽  
Black Hole Solutions

scholarly journals HORIZON MASS THEOREM

2005 ◽  
Vol 14 (12) ◽  
pp. 2219-2225 ◽  
Author(s):  
YUAN K. HA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uniqueness Theorem ◽  
Hawking Radiation ◽  
General Theorem ◽  
Positive Energy ◽  
Singularity Theorem ◽  
Area Theorem ◽  
Classical Black Holes ◽  
The Uniqueness Theorem

A new theorem for black holes is found. It is called the horizon mass theorem. The horizon mass is the mass which cannot escape from the horizon of a black hole. For all black holes, neutral, charged or rotating, the horizon mass is always twice the irreducible mass observed at infinity. Previous theorems on black holes are: (i) the singularity theorem, (ii) the area theorem, (iii) the uniqueness theorem, (iv) the positive energy theorem. The horizon mass theorem is possibly the last general theorem for classical black holes. It is crucial for understanding Hawking radiation and for investigating processes occurring near the horizon.

scholarly journals Distorted vacuum black holes in the canonical ensemble

2019 ◽  
Vol 34 (07n08) ◽  
pp. 1950060
Author(s):  
O. B. Zaslavskii
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Coordinate System ◽  
Uniqueness Theorem ◽  
Canonical Ensemble ◽  
Finite Size ◽  
Horizon Area ◽  
Spatial Symmetry ◽  
Flat Spacetime ◽  
The Uniqueness Theorem

We consider a vacuum static spacetime in a finite size cavity. On the boundary, we specify a metric and a finite constant local temperature [Formula: see text]. No spherical or any other spatial symmetry is assumed. We show that (i) inside a cavity, only a black hole or flat spacetime are possible, whereas a curved horizonless regular spacetime is excluded, (ii) in the limit when the horizon area shrinks, the Hawking temperature diverges, (iii) for the existence of a black hole, [Formula: see text] should be high enough. When [Formula: see text], a black hole phase is favorable thermodynamically. Our consideration essentially uses the coordinate system introduced by Israel in his famous proof of the uniqueness theorem.

EXTENDED SCALAR GRAVITY TO (2 + 1) DIMENSIONS: CHARGED AND ROTATING SOLUTIONS

2002 ◽  
Vol 17 (32) ◽  
pp. 2137-2146
Author(s):  
A. A. RODRIGUES SOBREIRA ◽  
V. B. BEZERRA
Keyword(s):  
Black Hole ◽  
Coordinate Transformation ◽  
Maxwell Equations ◽  
Gravity Theory ◽  
Rotating Black Hole ◽  
Electrically Charged ◽  
Black Hole Solutions ◽  
Scalar Gravity

We consider the scalar gravity theory in (2 + 1) dimensions and find an electrically charged and a rotating black hole solutions. The first solution was obtained by combining the scalar gravity and Maxwell equations and the second one by applying the method of complex coordinate transformation to the nonrotating counterpart solution.

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