823 research outputs found
The Black Hole in Three Dimensional Space Time
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a
negative cosmological constant, admit a black hole solution. The 2+1 black hole
-characterized by mass, angular momentum and charge, defined by flux integrals
at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space
appears as a negative energy state separated by a mass gap from the continuous
black hole spectrum. Evaluation of the partition function yields that the
entropy is equal to twice the perimeter length of the horizon.Comment: This version is the one that appeared in PRL (1992), and has
important improvements with respect to the one previously submitted to the
archive. 13 pages, latex, no figure
Static Black Binaries in de Sitter
We construct the first four-dimensional multi-black hole solution of general
relativity with a positive cosmological constant. The solution consists of two
static black holes whose gravitational attraction is balanced by the cosmic
expansion. These static binaries provide the first four-dimensional example of
non-uniqueness in general relativity without matter.Comment: 15 pages, 8 figures. v2: matches published version (improved
discussions and Figs. 6 and 7 added
An instability of higher-dimensional rotating black holes
We present the first example of a linearized gravitational instability of an
asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry
black hole with equal angular momenta in an odd number of dimensions. We find
no evidence of any instability in five or seven dimensions, but in nine
dimensions, for sufficiently rapid rotation, we find perturbations that grow
exponentially in time. The onset of instability is associated with the
appearance of time-independent perturbations which generically break all but
one of the rotational symmetries. This is interpreted as evidence for the
existence of a new 70-parameter family of black hole solutions with only a
single rotational symmetry. We also present results for the Gregory-Laflamme
instability of rotating black strings, demonstrating that rotation makes black
strings more unstable.Comment: 38 pages, 13 figure
ASTAR Operational Evaluation Final Report Technical Documentation Volume III: Functional Description
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