# Scalar geons in Born-Infeld gravity

## TL;DR

This paper investigates static scalar field solutions in Born-Infeld gravity, revealing new effects near the center and identifying wormhole and Euclidean topologies depending on mass, with implications for gravitational structure.

## Contribution

It introduces the first detailed analysis of scalar geons in Born-Infeld gravity, combining analytical and numerical methods to uncover novel solutions and topologies.

## Key findings

- Massive solutions form wormholes with a throat at r≈2M.
- Lighter solutions have Euclidean topology.
- Energy density peaks away from the center, at the throat for wormholes.

## Abstract

The existence of static, spherically symmetric, self-gravitating scalar field solutions in the context of Born-Infeld gravity is explored. Upon a combination of analytical approximations and numerical methods, the equations for a free scalar field (without a potential term) are solved, verifying that the solutions recover the predictions of General Relativity far from the center but finding important new effects in the central regions. We find two classes of objects depending on the ratio between the Schwarzschild radius and a length scale associated to the Born-Infeld theory: massive solutions have a wormhole structure, with their throat at $r\approx 2M$, while for the lighter configurations the topology is Euclidean. The total energy density of these solutions exhibits a solitonic profile with a maximum peaked away from the center, and located at the throat whenever a wormhole exists. The geodesic structure and curvature invariants are analyzed for the various configurations considered.