f(R)-Brane

Understand

We investigate the existence of brane solutions in braneworld scenarios described by real scalar field in the presence of modified $f(R)$ gravity with a single extra dimension.

• In the case of constant curvature, we obtain first-order differential equations which solve the equations of motion and ease the search for explicit analytical solutions.
• Several examples of current interest are investigated to illustrate the results of the present work.