Robert B. Mann et al: Black String Solutions w/ Negative Cosmological Constant

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SUMMARY

The discussion centers on the paper by Robert B. Mann, Eugen Radu, and Cristian Stelea, which presents new black string solutions with a negative cosmological constant. These higher-dimensional configurations are independent of the compact extra dimension, exhibiting conformal infinity as either the product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$. The authors demonstrate that configurations with an event horizon topology of $S^{d-2}\times S^1$ possess a globally regular limit with zero event horizon radius. They compute conserved charges and thermodynamic properties using a counterterm prescription and establish an effective $SL(2,R)$ symmetry through dimensional reduction, which aids in constructing solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential.

PREREQUISITES
  • Understanding of black hole physics and string theory
  • Familiarity with cosmological constants and their implications
  • Knowledge of the Einstein-Maxwell-Dilaton system
  • Experience with dimensional reduction techniques in theoretical physics
NEXT STEPS
  • Research the implications of negative cosmological constants in higher-dimensional theories
  • Study the properties of black string solutions in string theory
  • Explore the role of $SL(2,R)$ symmetry in theoretical physics
  • Investigate the thermodynamics of black holes and their conserved charges
USEFUL FOR

The discussion is beneficial for theoretical physicists, researchers in string theory, and anyone interested in advanced concepts of black hole thermodynamics and higher-dimensional models.

Danny
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"Black string solutions with negative cosmological constant"
By Robert B. Mann, Eugen Radu, Cristian Stelea

It is a remarkable work in my point of view. They present an arguments for the existence of new black string solutions with negative cosmological constant.

These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their conformal infinity is the product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$.

The configurations with an event horizon topology $S^{d-2}\times S^1$ have a nontrivial, globally regular limit with zero event horizon radius.

They discuss the general properties of such solutions and, using a counterterm prescription, they compute their conserved charges and discuss their thermodynamics.

Upon performing a dimensional reduction they prove that the reduced action has an effective $SL(2,R)$ symmetry.

This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in $(d-1)$-dimensions.

Interesting!
 
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"Black string solutions with negative cosmological constant"
By Robert B. Mann, Eugen Radu, Cristian Stelea

It is a remarkable work in my point of view. They present an arguments for the existence of new black string solutions with negative cosmological constant.

These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their conformal infinity is the product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$.

The configurations with an event horizon topology $S^{d-2}\times S^1$ have a nontrivial, globally regular limit with zero event horizon radius.

They discuss the general properties of such solutions and, using a counterterm prescription, they compute their conserved charges and discuss their thermodynamics.

Upon performing a dimensional reduction they prove that the reduced action has an effective $SL(2,R)$ symmetry.

This symmetry is used to construct non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in $(d-1)$-dimensions.

Interesting!
 

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