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

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.

LaTeX file, 11 pages

References in corpus (2)

• (Anti-)Evaporation of Schwarzschild-de Sitter Black Holes
• Conformal anomaly for dilaton coupled electromagnetic field

Cited by in corpus (13)

• Temperature and entropy of Schwarzschild-de Sitter space-time
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Quantum Global Structure of de Sitter Space
• De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter
• Anti-Evaporation of Bardeen de-Sitter Black Holes
• Obstruction of black hole singularity by quantum field theory effects
• Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
• Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime
• Discrete Symmetries of Functional Determinants
• Quantum Corrections for ABGB Black Hole
• Heavy Fields and Gravity
• Unveiling horizons in quantum critical collapse
• Anti-Evaporation/Evaporation of $n$-dimensional Reissner-Nordström Black Hole