Black Hole Horizon in Superstring Inspired D-Dimensional Dilaton Gravity

TL;DR

This paper explores black hole solutions in a D-dimensional dilaton gravity model inspired by superstring theory, revealing how the dilaton field influences the existence of horizons.

Contribution

It presents new stationary Schwarzschild-type solutions in D-dimensional dilaton gravity, analyzing the impact of the dilaton field on black hole horizons.

Findings

Non-zero dilaton parameter eliminates the black hole horizon.

Pure Schwarzschild solution occurs when the dilaton parameter is zero.

Solutions include a two-parameter set with mass and dilaton intensity.

Abstract

In $D$-dimensional dilaton gravitational model stationary Schwarzschild type solutions (centrally symmetrical solutions in vacuum) are obtained. They contain the two-parameter set of solutions: the first parameter is proportional to a central mass and the second one describes intensity of the dilaton field. If the latter parameter equals zero we have pure Schwarzschild solution with the black hole and constant dilaton field. But when the mentioned parameter is non-zero and the dilaton is non-constant, the black hole horizon vanishes.