Black Holes and Generalized Scalar Field

Details Black Holes and Generalized Scalar Field Black Holes and Generalized Scalar Field

2006-02-21

arxiv.org/abs/gr-qc/0602085v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LaTeX with elsart style

Scientific paper

We study the possibility of occurrence of scalar hair with a non-canonical kinetic term for a static, spherically symmetric asymptotically flat black hole spacetime. We first obtain a general equation for this purpose and then consider various examples for the kinetic term $F(X)$ with $X=-{1\over{2}}\partial^{\mu}\phi\partial_{\mu}\phi$. Our study shows that for a tachyon field with a positive potential, which naturally arises in open string theory, asymptotically flat a static black hole solution does not exist.

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