Disformal mappings of spherical DHOST geometries

TL;DR

This paper explores how disformal transformations applied to known solutions in DHOST theories can generate new geometries, including black holes, wormholes, and horizonless structures, expanding the landscape of possible solutions.

Contribution

It demonstrates that disforming static and time-dependent solutions in DHOST theories can produce a variety of new geometries, including black holes and wormholes, not achievable from stealth solutions.

Findings

Disforming stealth solutions does not create black hole horizons.

Disforming non-stealth, time-dependent solutions can produce horizons and wormholes.

New DHOST solutions include black holes, wormholes, and horizonless geometries.

Abstract

New solutions of DHOST theories can be generated by applying a disformal tranformation to a known seed solution. We examine the nature of spherically symmetric solutions of DHOST gravity obtained by disforming static spherical scalar field solutions, or stealth solutions, of general relativity. It is shown that, in these cases, black hole horizons are never created by disforming a black hole seed. New DHOST solutions are then created by disforming two lesser known scalar field solutions of general relativity: Wyman's ``other'' solution and the Husain-Martinez-Nu\~nez one. These new solutions demonstrate that one can obtain black hole horizons, wormhole throats, or horizonless geometries by disforming non-stealth, time-dependent, seeds.