https://doi.org/10.1140/epjc/s10052-018-5615-5
Regular Article - Theoretical Physics
Scalar field collapse in Gauss–Bonnet gravity
1
Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur Campus, Nadia, West Bengal, 741 246, India
2
Department of Theoretical Physics, Indian Association for the Cultivation of Science, 2A and 2B Raja S.C. Mullick Road, Kolkata, 700 032, India
* e-mail: pul.tnmy9@gmail.com
Received:
22
September
2017
Accepted:
2
February
2018
Published online:
15
February
2018
We consider a “scalar-Einstein–Gauss–Bonnet” theory in four dimension, where the scalar field couples non-minimally with the Gauss–Bonnet (GB) term. This coupling with the scalar field ensures the non-topological character of the GB term. In this scenario, we examine the possibility for collapsing of the scalar field. Our result reveals that such a collapse is possible in the presence of Gauss–Bonnet gravity for suitable choices of parametric regions. The singularity formed as a result of the collapse is found to be a curvature singularity which is hidden from the exterior by an apparent horizon.
© The Author(s), 2018