Classical General Relativity in more than four spacetime dimensions has been the subject of increasing attention in recent years. Among the reasons why it should be interesting to study this extension of Einstein’s theory, and in particular its black hole solutions, we may mention that
- String theory contains gravity and requires more than four dimensions. In fact, the first successful statistical counting of black hole entropy in string theory was performed for a fivedimensional black hole. This example provides the best laboratory for the microscopic string theory of black holes.
- The AdS/CFT correspondence relates the properties of a d-dimensional black hole with those of a quantum field theory in d − 1 dimensions.
- The production of higher-dimensional black holes in future colliders becomes a conceivable possibility in scenarios involving large extra dimensions and TeV-scale gravity.
- As mathematical objects, black hole spacetimes are among the most important Lorentzian Ricci-flat manifolds in any dimension.
And the translation:
Traditional general of relativity in more than four masses of that the time of the space was the subject of the increase attention these the slipped years. To the relations of transformation, so that he had that to being interesting, to this extension of the theory of Einstein to study and in the detail of the relative solutions to perforate black color, that we can we mentioned this
- The theory of the series of the characters will count the force of the gravity and it more has the necessity of the one of mass four. They executed the first guessed right statistical client of the entropy of the black color that really perforates in the theory of the series of the characters the end to perforate the black color of the fivedimensional. This better example releases the laboratory available for the microscopic theory of the series of the characters of the black color of the perforations.
- The correspondence of AdS/CFT connects the characteristics of a D dimensional schwarzen that the sacadores with those with a theory of the zone of the section of the time in the D without mass 1.
- The production of the perforations that the high-dimensional-black color in her the future transforms of colliders inside the great possibilities imaginable ones into the writing of the suggestion adds of the film and in the fairs of TeV the force of the gravity.
- As matemati of the messages those we belong spacetimes of the black color that the sacadores to the tubes the greatest piece of the important Stocherkaehne I gave curly Lorentzian in each possible measurement.
I hope that clarifies everything.
Makes me wonder why there is no requirement these translation maps be invertible.