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Scalar field and gravitational instability
Authors:K. A. Bronnikov  A. V. Khodunov
Affiliation:(1) State Committee for Standards of the USSR, Leninsky prospekt 9, M-49 Moscow, Union of Soviet Socialist Republics
Abstract:We study monopole perturbations of spherically symmetric scalar-vacuum and scalar-electrovacuum fields in general relativity and reduce the problem to a one-dimensional Schrödinger-like equation with a certain effective potential. Imposing certain boundary conditions, we select physically meaningful perturbations. Some of them grow exponentially and we conclude that the background system is unstable.
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