I obtained the black hole solution whose the metric function f(r) and scalar function ##\varphi(r)## are ;(adsbygoogle = window.adsbygoogle || []).push({});

##f(r)=\frac{1}{4}+\left(\frac{Z^{2}}{2r^{2}}\right)^{2}-\frac{1}{3}\Lambda r^{2}##

##\varphi(r)=\pm\left(\frac{1}{\sqrt{2}l}\right)r##

where ##Z##, ##\Lambda## and ##l## are just constants.

What is the global causal structure of this space-time solution described by Eqs. above?

Is the dilaton field well-behaved for r —-> infinity?

[Moderator's Note: deleted the second part of the post, needs to be posted in a separate thread.]

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Global casual structure of space-time, well-behaved function

Loading...

Similar Threads - Global casual structure | Date |
---|---|

A Global solution to parallel transport equation? | Nov 15, 2017 |

A Correct coordinate transformation from Poincare-AdS##_3## to global AdS##_3## | Oct 9, 2017 |

A Deriving the Poincare patch from global coordinates in AdS##_{3}## | Apr 25, 2017 |

A Global coordinate system | Apr 25, 2017 |

Casuality [Hitting] | Sep 6, 2014 |

**Physics Forums - The Fusion of Science and Community**