Static spherically symmetric black holes of Brans-Dicke theory of gravity
Issued Date
2023-01-01
Resource Type
ISSN
02177323
eISSN
17936632
Scopus ID
2-s2.0-85176352256
Journal Title
Modern Physics Letters A
Rights Holder(s)
SCOPUS
Bibliographic Citation
Modern Physics Letters A (2023)
Suggested Citation
Senjaya D. Static spherically symmetric black holes of Brans-Dicke theory of gravity. Modern Physics Letters A (2023). doi:10.1142/S0217732323501389 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/91125
Title
Static spherically symmetric black holes of Brans-Dicke theory of gravity
Author(s)
Author's Affiliation
Other Contributor(s)
Abstract
This paper investigates the static spherically symmetric vacuum solutions of Brans-Dicke Theory of Gravity. In this paper, we systematically derive the static spherically symmetric solutions by starting with the general static spherically symmetric anzats, discovering the nonzero Christoffel symbols, nonzero Ricci tensor components and the Ricci Scalar. These results allow us to rewrite the four Brans-Dicke gravitational field equations explicitly in terms of the metric components, the scalar field and its scalar potential. This paper systematically explains and shows how to modify these linear second-order ordinary differential equations in order to be able to find the solution of the scalar field, the metric components and the scalar potential analytically. We successfully find the most general solution of the static spherically symmetric vacuum solutions of Brans-Dicke gravity and the well-known Schwarzschild solution is recovered as the simplest solution.