Abstract
In the large dimension (D) limit, Einstein’s equation reduces to an effective theory on the horizon surface, drastically simplifying the black hole analysis. Especially, the effective theory on the black brane has been successful in describing the non-linear dynamics not only of black branes, but also of compact black objects which are encoded as solitary Gaussian-shaped lumps, blobs. For a rigidly rotating ansatz, in addition to axisymmetric deformed branches, various non-axisymmetric solutions have been found, such as black bars, which only stay stationary in the large D limit.In this article, we demonstrate the blob approximation has a wider range of applicability by formulating the interaction between blobs and subsequent dynamics. We identify that this interaction occurs via thin necks connecting blobs. Especially, black strings are well captured in this approximation sufficiently away from the perturbative regime. Highly deformed black dumbbells and ripples are also found to be tractable in the approximation. By defining the local quantities, the effective force acting on distant blobs are evaluated as well. These results reveal that the large D effective theory is capable of describing not only individual black holes but also the gravitational interactions between them, as a full dynamical theory of interactive blobs, which we call brane blobology.
Highlights
Black holes in higher dimensions exhibit colorful dynamics, in which horizons are stretched, bent and even pinched off [1]
The effective theory on the black brane has been successful in describing the non-linear dynamics of black branes, and of compact black objects which are encoded as solitary Gaussian-shaped lumps, blobs
By defining the local quantities, the effective force acting on distant blobs are evaluated as well. These results reveal that the large D effective theory is capable of describing individual black holes and the gravitational interactions between them, as a full dynamical theory of interactive blobs, which we call brane blobology
Summary
Black holes in higher dimensions exhibit colorful dynamics, in which horizons are stretched, bent and even pinched off [1]. It has been noticed that black dumbbells that are highly deformed form a multiple binary of separate blobs, and black ripples resemble multiple concentric ring-shaped blobs [33]. In all of these configurations, there are blobs connected by thin neck regions. Since the blobs are rotating, the centrifugal forces should be sustained by a certain attraction between blobs These interactions can be understood by regarding multiple blobs as either of black holes whose horizons are almost touching (so that near horizons have some overlap) or large lumps on a single black object which are connected to each other by thin necks.
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