scholarly journals Uniqueness theorem of static degenerate and nondegenerate charged black holes in higher dimensions

2003 ◽  
Vol 67 (8) ◽  
Author(s):  
Marek Rogatko
Keyword(s):  
Black Holes ◽  
Uniqueness Theorem ◽  
Higher Dimensions ◽  
Charged Black Holes

scholarly journals THE CARDY–VERLINDE FORMULA AND ASYMPTOTICALLY FLAT CHARGED BLACK HOLES

2001 ◽  
Vol 16 (19) ◽  
pp. 1263-1268 ◽  
Author(s):  
DONAM YOUM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Casimir Effect ◽  
Higher Dimensions ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Temperature Relation ◽  
Asymptotically Flat ◽  
Charged Black Holes ◽  
Verlinde Formula

We show that the modified Cardy–Verlinde formula without the Casimir effect term is satisfied by asymptotically flat charged black holes in arbitrary dimensions. Thermodynamic quantities of the charged black holes are shown to satisfy the energy-temperature relation of a two-dimensional CFT, which supports the claim in our previous work (Phys. Rev.D61, 044013, hep-th/9910244) that thermodynamics of charged black holes in higher dimensions can be effectively described by two-dimensional theories. We also check the Cardy formula for the two-dimensional black hole compactified from a dilatonic charged black hole in higher dimensions.

scholarly journals MULTI-BLACK HOLES AND INSTANTONS IN EFFECTIVE STRING THEORY

1998 ◽  
Vol 07 (01) ◽  
pp. 73-80
Author(s):  
S. DEMELIO ◽  
S. MIGNEMI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Higher Dimensions ◽  
Field Equations ◽  
Charged Black Holes ◽  
Effective String Theory ◽  
Black Hole Solutions

The effective four-dimensional action for string theory contains non-minimal couplings of the dilaton and the moduli arising from the compactification of higher dimensions. We show that the resulting field equations admit multi-black hole solutions. The Euclidean continuation of these solutions can be interpreted as an instanton mediating the splitting and recombination of the throat of extremal magnetically charged black holes.

Penrose inequalities and a positive mass theorem for charged black holes in higher dimensions

2016 ◽  
Vol 33 (3) ◽  
pp. 035008 ◽  
Author(s):  
Levi Lopes de Lima ◽  
Frederico Girão ◽  
Weslley Lozório ◽  
Juscelino Silva
Keyword(s):  
Black Holes ◽  
Higher Dimensions ◽  
Positive Mass Theorem ◽  
Positive Mass ◽  
Charged Black Holes

scholarly journals The entropy sum of (A)dS black holes in four and higher dimensions

2014 ◽  
Vol 29 (30) ◽  
pp. 1450172 ◽  
Author(s):  
Wei Xu ◽  
Jia Wang ◽  
Xin-He Meng
Keyword(s):  
Black Holes ◽  
Angular Momentum ◽  
Cosmological Constant ◽  
Higher Dimensions ◽  
Coupling Constant ◽  
Bonnet Gravity ◽  
Charged Black Holes ◽  
Higher Dimensional ◽  
Six Dimensions ◽  
Odd Dimensions

We present the "entropy sum" relation of (A)dS charged black holes in higher-dimensional Einstein–Maxwell gravity, f(R) gravity, Gauss–Bonnet gravity and gauged supergravity. For their "entropy sum" with the necessary effect of the unphysical "virtual" horizon included, we conclude the general results that the cosmological constant dependence and Gauss–Bonnet coupling constant dependence do hold in both the four and six dimensions, while the "entropy sum" is always vanishing in odd dimensions. Furthermore, the "entropy sum" of all horizons is related to the geometry of the horizons in four and six dimensions. In these explicitly four cases, one also finds that the conserved charges M (the mass), Q (the charge from Maxwell field or supergravity) and the parameter a (the angular momentum) play no role in the "entropy sum" relations.

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