Higher dimensional black holes

Thesis/Dissertation · Wed Jan 01 04:00:00 EST 1986

OSTI ID:7055598

Myers, R C

Black hole solutions to Einstein's equations are examined in asymptotically flat N + 1 dimensional space-times. Generalizations of Schwarzschild and Reissner-Nordstroem solutions are examined in a discussion of static black holes in N + 1 dimensions. A new family of solutions is found which describe spinning black holes in higher dimensional space-times. In many respects these new solutions are similar to the familiar Kerr and Schwarzschild metrics which are recovered for N = 3. One exceptional case though is that for N greater than or equal to 5 black holes with a fixed mass may have arbitrarily large angular momentum. Next the Majumdar-Papapetrou solutions of the Einstein-Maxwell equations are generalized to higher dimensions. These new solutions are then used to construct black hole solutions in which the extra dimensions are compactified on a torus. Conjectures about similar constructions for the vacuum Einstein equations are also discussed.

• Research Organization: Princeton Univ., NJ (USA)
• OSTI ID: 7055598
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
BLACK HOLES
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
KERR METRIC
MANY-DIMENSIONAL CALCULATIONS
METRICS
SCHWARZSCHILD METRIC
VACUUM STATES