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

[Danny]

"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!

 

[Danny]

"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!

 

[Entropia]

I find this work by Mann, Radu, and Stelea to be highly intriguing and innovative. The existence of black string solutions with negative cosmological constant challenges our understanding of higher-dimensional configurations and their properties. The fact that these solutions have no dependence on the compact extra dimension and their conformal infinity is a product of time and $S^{d-3}\times R$ or $H^{d-3}\times R$ adds to the complexity and uniqueness of these solutions.

Moreover, the authors' discussion of the general properties and thermodynamics of these solutions, as well as their use of a counterterm prescription to compute their conserved charges, demonstrates a thorough and rigorous analysis. The finding that the reduced action has an effective $SL(2,R)$ symmetry is a significant result and provides a useful tool for further exploration of these solutions.

The construction of non-trivial solutions of the Einstein-Maxwell-Dilaton system with a Liouville-type potential for the dilaton in $(d-1)$-dimensions is a particularly interesting aspect of this work. It opens up new possibilities for studying the behavior of these solutions and their potential implications for our understanding of the universe.

Overall, I believe this work by Mann, Radu, and Stelea makes a valuable contribution to the field of black hole and string solutions in higher dimensions. Their findings have the potential to significantly expand our knowledge and challenge our current theories, and I look forward to seeing further developments in this area.