Multipole moments for black objects in five dimensions

TL;DR

This paper introduces multipole moments for higher-dimensional black objects, demonstrating that quadrupole moments can distinguish between different black objects like Myers-Perry black holes and black rings, offering new insights into their classification.

Contribution

It defines multipole moments for black objects in higher dimensions and shows their effectiveness in differentiating between black hole solutions.

Findings

Myers-Perry black hole and black ring have distinct quadrupole moments.

Multipole moments can serve as classification tools for higher-dimensional black objects.

The approach provides new insights into the uniqueness theorem in higher dimensions.

Abstract

In higher dimensions than four, conventional uniqueness theorem in asymptotically flat space-times does not hold, i.e., black objects can not be classified only by the mass, angular momentum and charge. In this paper, we define multipole moments for black objects and show that Myers-Perry black hole and black ring can be distinguished by quadrupole moments. This consideration gives us a new insight for the uniqueness theorem for black objects in higher dimensions.