Quantum generation of Schwarzschild-de Sitter (Nariai) black holes in effective dilaton-Maxwell gravity

TL;DR

This paper demonstrates that quantum effects in dilaton-Maxwell gravity can generate Schwarzschild-de Sitter black holes, providing a potential mechanism for their quantum creation in the early universe and implications for cosmological models.

Contribution

It introduces a quantum correction mechanism in dilaton-Maxwell gravity that leads to the formation of Schwarzschild-de Sitter black holes with constant dilaton, an alternative to traditional black hole production.

Findings

Quantum corrections enable SdS black hole solutions in dilaton-Maxwell gravity.

The mechanism suggests a quantum origin for inflationary universe scenarios.

Discussion of anti-de Sitter space proliferation implications.

Abstract

Dilaton coupled electromagnetic field is essential element of low-energy string effective action or it may be considered as result of spherical compactification of Maxwell theory in higher dimensions. The large $N$ and large curvature effective action for $N$ dilaton coupled vectors is calculated. Adding such quantum correction to classical dilaton gravity action we show that effective dilaton-Maxwell gravity under consideration may generate Schwarzschild-de Sitter black holes (SdS BHs) with constant dilaton as solutions of the theory. That suggests a mechanism (alternative to BHs production) for quantum generation of SdS BHs in early universe (actually, for quantum creation of inflationary Universe) due to back-reaction of dilaton coupled matter. The possibility of proliferation of anti-de Sitter space is briefly discussed.