Arbitrary static, spherically symmetric space-times as solutions of scalar-tensor gravity

Abstract

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function $f(\varphi )$ and potential $U(\varphi )$. The scalar field in this representation can change its nature from canonical to phantom on certain coordinate spheres. This representation, however, is valid in general not in the full range of the radial coordinate but only piecewise. Two examples of STT representations are discussed: for the Reissner-Nordström metric and for the Simpson-Visser regularization of the Schwarzschild metric (the so-called black bounce space-time).

8 pages, 1 figure

References in corpus (8)

• Regular black holes and black universes
• Field sources for Simpson-Visser space-times
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Scalar perturbations around rotating regular black holes and wormholes: quasi-normal modes, ergoregion instability and superradiance
• On black bounces, wormholes and partly phantom scalar fields
• Echoes of novel black-bounce spacetimes
• Rotating spacetime: black-bounces and quantum deformed black hole

Cited by in corpus (4)

• On black bounce space-times in non-linear electrodynamics
• Cylindrical black bounces and their field sources
• Killing horizons and surface gravities for a well-behaved three-function generalisation of the Kerr spacetime
• Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state