Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-03-08
Int.J.Mod.Phys. D8 (1999) 481-505
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Latex2e, 3 Latex figures with bezier.sty
Scientific paper
10.1142/S0218271899000341
We study the possible existence of charged and neutral black holes in the Bergmann-Wagoner class of scalar-tensor theories (STT) of gravity in four dimensions. The existence of black holes is shown for anomalous versions of these theories, with a negative kinetic term in the Lagrangian. The Hawking temperature of these holes is zero, while the horizon area is (in most cases) infinite. As a special case, the Brans-Dicke theory is studied in more detail, and two kinds of infinite-area black holes are revealed, with finite and infinite proper time needed for an infalling particle to reach the horizon; among them, analyticity properties select a discrete subfamily of solutions, parametrized by two integers, which admit an extension beyond the horizon. The causal structure and stability of these solutions with respect to small radial perturbations is discussed. As a by-product, the stability properties of all spherically symmetric electrovacuum STT solutions are outlined.
Bronnikov Kirill A.
Constantinidis Clisthenis P.
Evangelista Luiz Roberto
Fabris Julio Cesar
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