Higher dimensional black-holes

Details Higher dimensional black-holes Higher dimensional black-holes

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991stin...9225337b&link_type=abstract

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Astronomy and Astrophysics

Astronomy

Black Holes (Astronomy), Gauge Invariance, Gravitation, Hamiltonian Functions, Naked Singularities, Relativity, Space-Time Functions, Curvature, Formalism, Gauge Theory, Lie Groups, Symmetry

Scientific paper

Spherically symmetric solutions for Lovelock gravity are studied in the hamiltonian formalism. The natural definition of the energy as the numerical value of the hamiltonian is used. It is shown that there exists a particular choice of the Lovelock coefficients which satisfies the following properties: (1) the chaotic time evolution, present in a generic Lovelock theory, is eliminated; (2) there is a curvature (black hole) singularity at r = 0 only for even spacetime dimensions, while odd dimensional spacetimes are non singular; (3) for dimensions D = 4k a horizon exists only when the energy is positive (cosmic censorship), while for D = 4k + 2 there are both dressed and naked singularities. This particular lagrangian comes from a gauge theory with a SO(D-1,2) or SO(D,1) symmetry.

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