Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-24
Phys.Rev. D65 (2002) 024029
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, REVTEX. References and Note Added
Scientific paper
10.1103/PhysRevD.65.024029
Our starting point is an iterative construction suited to combinatorics in arbitarary dimensions d, of totally anisymmetrised p-Riemann 2p-forms (2p\le d) generalising the (1-)Riemann curvature 2-forms. Superposition of p-Ricci scalars obtained from the p-Riemann forms defines the maximally Gauss--Bonnet extended gravitational Lagrangian. Metrics, spherically symmetric in the (d-1) space dimensions are constructed for the general case. The problem is directly reduced to solving polynomial equations. For some black hole type metrics the horizons are obtained by solving polynomial equations. Corresponding Kruskal type maximal extensions are obtained explicitly in complete generality, as is also the periodicity of time for Euclidean signature. We show how to include a cosmological constant and a point charge. Possible further developments and applications are indicated.
Chakrabarti Alok
Tchrakian D. H.
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