https://doi.org/10.1140/epjc/s10052-019-7139-z
Regular Article - Theoretical Physics
p-Branes with 
vacuum as models of 
gravity
1
Kharkov Institute of Physics and Technology, Kharkov, 61108, Ukraine
2
Nordita, KTH Royal Institute of Technology and Stockholm University, 106 91, Stockholm, Sweden
* e-mail: aaz@nordita.org
Received:
14
January
2019
Accepted:
13
July
2019
Published online:
29
July
2019
Branes with constant mean curvature of their hyper-worldsheets of codimension 1 are treated as the Nambu-Goldstone fields of the broken Poincare symmetry. Mapping of their action into quadratic curvature gravity action with spontaneously generated gravity, is shown. Equation for the brane potential extremals and its solution describing hyper-ws of constant curvature are found. For membranes in 
this extremum is shown to be a saddle 3-dim. hypersurface which defines classically instable vacuum.
© The Author(s), 2019
