Black Hole Solutions and Pressure Terms in Induced Gravity with Higgs Potential

Details Black Hole Solutions and Pressure Terms in Induced Gravity with Higgs Potential Black Hole Solutions and Pressure Terms in Induced Gravity with Higgs Potential

2009-12-20

arxiv.org/abs/0912.4036v3

Class.Quant.Grav.27:245003,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 4 figures, contents and figures modified, major revision, results are unchanged, published in Classical and Quantum

Scientific paper

10.1088/0264-9381/27/24/245003

We study the quintessential properties of the Black Hole solutions in a scalar--tensor theory of gravity with Higgs potential in view of the static and spherically symmetric line element. In view of our earlier results, Reissner--Nordstr\"om-like and Schwarzschild Black Hole solutions are derived with the introduction of a series-expansion method to solve the field equations without and with Higgs field mass. The physical consequences of the Black Hole solutions and the solutions obtained in the weak field limit are discussed in detail by the virtue of the equation-of-state parameter, the scalar-field excitations and the geodesic motion. The appearance of naked singularities is also discussed together with the dependence of Black Hole horizons on the field excitations, which are themselves dependent on pressure terms which effectively screen the mass terms. A possible connection to flat rotation curves following the interaction with the scalar field is also presented in the weak field limit of gravity, together with a discussion of dynamical effects of scalar fields and pressure terms on mass.

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