The problem of singularities of higher order curvature corrections in four dimensional string gravity

Details The problem of singularities of higher order curvature corrections in four dimensional string gravity The problem of singularities of higher order curvature corrections in four dimensional string gravity

2003-01-08

arxiv.org/abs/gr-qc/0301029v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, iop style, changes in motivation and discussion parts

Scientific paper

The influence of higher order (stringly inspired) curvature corrections to the classical General Relativity spherically symmetric solution is studied. In string gravity these curvature corrections have a special form and can provide a singular contribution to the field equations because they generate higher derivatives of metric functions multiplied by a small parameter. Analytically and numerically it is shown that sometimes in 4D string gravity the Schwarzschild solution is not recovered when the string coupling constant vanishes and limited number of higher order curvature corrections is considered.

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