Regular Article – Theoretical Physics
The generic sudden singularity in Brans–Dicke theory
DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Rd., CB3 0WA, Cambridge, UK
2 Institute of Gravitation and Cosmology, RUDN University, ul. Miklukho-Maklaya 6, 117198, Moscow, Russia
3 Research Laboratory of Geometry, Dynamical Systems and Cosmology, University of the Aegean, 83200, Karlovassi, Samos, Greece
4 College of Engineering and Technology, American University of the Middle East, Eqaila, Kuwait
Accepted: 11 December 2020
Published online: 24 December 2020
We construct a formal asymptotic series expansion for a general solution of the Brans–Dicke equations with a fluid source near a sudden singularity. This solution contains 11 independent arbitrary functions of the spatial coordinates as required by the Cauchy problem of the theory. We show that the solution is geodesically complete and has the character of a shock wave in the sudden asymptotic region. This solution is weak in the senses of Tipler and Krolak as in the corresponding case of general relativity.
© The Author(s) 2020
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