# Black holes and solitons in an extended Proca theory

## TL;DR

This paper explores a modified Proca theory with higher order curvature coupling, revealing new black hole solutions, solitons, and the role of the Proca mass as an effective cosmological constant.

## Contribution

It introduces a novel extended Proca theory with higher order curvature coupling and finds new black hole solutions and solitons with regular geometries.

## Key findings

- Asymptotically flat, AdS, and Lifshitz black holes discovered.
- Higher order term regularizes solutions for arbitrary couplings.
- Particle-like solitons with regular, non-trivial geometries found.

## Abstract

We study a massive vector tensor theory that acquires mass via a standard Proca term but also via a higher order term containing an explicit coupling to curvature. We find static solutions that are asymptotically flat, adS or Lifshitz black holes. Since the higher order term regularizes the effect of the Proca mass term, generically solutions are asymptotically regular for arbitrary couplings. This is true in particular for asymptotically flat black holes. For a particular coupling we find particle like solitons that have a regular and non trivial geometry everywhere. In all adS solutions the Proca mass term plays the role of an effective cosmological constant distinctly different from the bare cosmological constant.