Action principle selection of regular black holes
Breno L. Giacchini, Tibério de Paula Netto, Leonardo Modesto
Abstract
We elaborate on the role of higher-derivative curvature invariants as a quantum selection mechanism of regular spacetimes in the framework of the Lorentzian path integral approach to quantum gravity. We show that for a large class of black hole metrics prominently regular there are higher-derivative curvature invariants which are singular. If such terms are included in the action, according to the finite action principle applied to a higher-derivative gravity model, not only singular spacetimes but also some of the regular ones do not seem to contribute to the path integral.
Topics & Concepts
Path integral formulationCurvatureAction (physics)MathematicsClass (philosophy)Derivative (finance)Pure mathematicsQuantum gravityPath (computing)Effective actionMathematical physicsQuantumSelection (genetic algorithm)Mathematical analysisPhysicsGeometryQuantum mechanicsComputer scienceProgramming languageFinancial economicsEconomicsArtificial intelligenceBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories