https://doi.org/10.1140/epjc/s10052-021-09558-y
Regular Article - Theoretical Physics
Regular braneworlds with nonlinear bulk-fluids
1
Laboratoire de Physique Théorique et Hautes Energies-LPTHE, Sorbonne Université, CNRS 4 Place Jussieu, 75005, Paris, France
2
Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, 3001, Leuven, Belgium
3
Institute of Gravitation and Cosmology, RUDN University, ul. Miklukho-Maklaya 6, 117198, Moscow, Russia
4
Research Laboratory of Geometry, Dynamical Systems and Cosmology, University of the Aegean, Karlovassi, 83200, Samos, Greece
Received:
23
July
2021
Accepted:
16
August
2021
Published online:
26
August
2021
We construct a regular five-dimensional brane-world with localised gravity on a flat 3-brane. The matter content in the bulk is parametrised by an analog of a non-linear fluid with equation of state 
between the ‘pressure’ p and the ‘density’ 
dependent on the 5th dimension. For 
negative and 
, the null energy condition is satisfied and the geometry is free of singularities within finite distance from the brane, while the induced four-dimensional Planck mass is finite.
© The Author(s) 2021
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