Arbitrary Static, Spherically Symmetric Space-Times as Solutions of Scalar-Tensor Gravity

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 and potential . The scalar field in this representation can change its nature from canonical to phantom on cer...

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Bibliographic Details
Published in:Gravitation & cosmology 2023-03, Vol.29 (1), p.43-49
Main Authors: Bronnikov, K. A., Badalov, Kodir, Ibadov, Rustam
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Exact solutions
Mathematical analysis
Observations and Techniques
Physics
Physics and Astronomy
Quantum Physics
Regularization
Relativity Theory
Representations
Scalars
Schwarzschild metric
Tensors
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Summary: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 and potential . 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).
ISSN:0202-2893
1995-0721
DOI:10.1134/S0202289323010036