About Black Holes Without Trapping Interior

TL;DR

This paper explores the theoretical possibility of black hole solutions with non-trapping interiors, analyzing scalar fields interacting with gravity and their implications for the structure of black holes.

Contribution

It introduces interior solutions with scalar fields approaching a constant at the horizon, challenging the traditional trapping interior assumption in black hole models.

Findings

Scalar fields can approach a constant at the horizon in interior solutions.

Coupled Einstein-Klein-Gordon equations can be satisfied via generalized functions.

The scalar field prevents the formation of closed trapped surfaces.

Abstract

Physical arguments related with the existence of black hole solutions having a non trapping interior are discussed. Massive scalar fields interacting with gravity are considered. Interior asymptotic solutions showing a scalar field approaching a constant value at the horizon are given. It is argued that the coupled Einstein-Klein-Gordon equations can be satisfied in the sense of the generalized functions after removing a particular regularization designed for matching the interior solution with an external Scwartzschild spacetime. The scalar field appears as just avoiding the appearance of closed trapped surfaces while coming from the exterior region. It also follows that the usual space integral over the temporal- temporal components of energy-momnetum tensor in the internal region just gives the total proper mass associated to the external Schwartzschild solution, as it should be expected.