"No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction

Details "No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction "No-Scalar-Hair" Theorems for Nonminimally Coupled Fields with Quartic Self-Interaction

2002-12-11

arxiv.org/abs/gr-qc/0212050v1

Class.Quant.Grav. 19 (2002) 5465-5472

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, RevTeX 4

Scientific paper

10.1088/0264-9381/19/21/311

Self-gravitating scalar fields with nonminimal coupling to gravity and having a quartic self-interaction are considered in the domain of outer communications of a static black hole. It is shown that there is no value of the nonminimal coupling parameter $\zeta$ for which nontrivial static black hole solutions exist. This result establishes the correctness of Bekenstein ``no-scalar-hair'' conjecture for quartic self-interactions.

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