scholarly journals Charged–rotating black holes and black strings in higher dimensional Einstein–Maxwell theory with a positive cosmological constant

2007 ◽  
Vol 24 (18) ◽  
pp. 4691-4709 ◽  
Author(s):  
Y Brihaye ◽  
T Delsate
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Positive Cosmological Constant ◽  
Maxwell Theory ◽  
Higher Dimensional ◽  
Rotating Black Holes ◽  
Black Strings

scholarly journals Anomalies, black strings and the charged Cardy formula

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Seyed Morteza Hosseini ◽  
Kiril Hristov ◽  
Yuji Tachikawa ◽  
Alberto Zaffaroni
Keyword(s):  
Black Holes ◽  
Riemann Surface ◽  
Two Dimensional ◽  
Dimensional Theory ◽  
Higher Dimensional ◽  
Rotating Black Holes ◽  
Black Strings ◽  
Horizon Topology ◽  
Electrically Charged ◽  
Cardy Formula

Abstract We derive the general anomaly polynomial for a class of two-dimensional CFTs arising as twisted compactifications of a higher-dimensional theory on compact manifolds ℳd, including the contribution of the isometries of ℳd. We then use the result to per- form a counting of microstates for electrically charged and rotating supersymmetric black strings in AdS5× S5 and AdS7× S4 with horizon topology BTZt⋉S2 and BTZt⋉S2×$$ {\Sigma}_{\mathfrak{g}} $$ Σ g , respectively, where $$ {\Sigma}_{\mathfrak{g}} $$ Σ g is a Riemann surface. We explicitly construct the latter class of solutions by uplifting a class of four-dimensional rotating black holes. We provide a microscopic explanation of the entropy of such black holes by using a charged version of the Cardy formula.

scholarly journals MULTI-DIMENSIONAL COSMOLOGY AND DSR–GUP

2013 ◽  
Vol 28 (12) ◽  
pp. 1350047 ◽  
Author(s):  
K. ZEYNALI ◽  
F. DARABI ◽  
H. MOTAVALLI
Keyword(s):  
Cosmological Constant ◽  
Generalized Uncertainty Principle ◽  
Internal Space ◽  
Positive Cosmological Constant ◽  
Doubly Special Relativity ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Big Crunch ◽  
The Difference ◽  
Cosmological Constants

A multi-dimensional cosmology with FRW type metric having four-dimensional spacetime and d-dimensional Ricci-flat internal space is considered with a higher-dimensional cosmological constant. The classical cosmology in commutative and Doubly Special Relativity–Generalized Uncertainty Principle (DSR–GUP) contexts is studied and the corresponding exact solutions for negative and positive cosmological constants are obtained. In the positive cosmological constant case, it is shown that unlike the commutative as well as GUP cases, in DSR–GUP case both scale factors of internal and external spaces after accelerating phase will inevitably experience decelerating phase leading simultaneously to a big crunch. This demarcation from GUP originates from the difference between the GUP and DSR–GUP algebras. The important result is that unlike GUP which results in eternal acceleration, DSR–GUP at first generates acceleration but prevents the eternal acceleration at late-times and turns it into deceleration.

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