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Vacuum Fluctuations in non-globally hyperbolic spacetimes

Grant number: 18/09575-0
Support type:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): September 01, 2018
Effective date (End): December 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal researcher:João Paulo Pitelli Manoel
Grantee:Vitor Barroso Silveira
Supervisor abroad: Robert Manuel Wald
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: University of Chicago, United States  
Associated to the scholarship:16/25963-4 - Quantum Fluctuations and the Global Monopole, BP.MS

Abstract

It is well known that in globally-hyperbolic spacetimes the evolution of quantum fields is uniquely determined by the initial conditions on a Cauchy hypersurface. This is not the case for non-globally hyperbolic spacetimes. For instance, in spacetimes with a naked singularity, the quantum field may interact in a non-trivial way with the singularity. Similarly, in asymptotically AdS spacetimes, information can flow in(out) from(to) infinity. Wald argued that a physically sensible dynamics arise when one requires that the spatial operator in Klein-Gordon equation is self-adjoint. This requirement translates into prescribing boundary conditions at spacetimes singularities or at spatial infinity. We aim to find the effects of these boundary conditions on semiclassical quantities, such as the vacuum expectation value of the energy-momentum tensor. In this way, we may be able to understand how quantum processes affect the structure of non-globally hyperbolic spacetimes.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
PITELLI, JOAO PAULO M.; BARROSO, VITOR S.; MOSNA, RICARDO A.. Boundary conditions and renormalized stress-energy tensor on a Poincare patch of AdS(2). Physical Review D, v. 99, n. 12, . (18/01558-9, 13/09357-9, 18/09575-0)
BARROSO, VITOR S.; PITELLI, J. P. M.. Boundary conditions and vacuum fluctuations in AdS(4). GENERAL RELATIVITY AND GRAVITATION, v. 52, n. 3, . (13/09357-9, 18/09575-0)
PITELLI, JOAO PAULO M.; BARROSO, VITOR S.. Particle production between isometric frames on a Poincare patch of AdS(2). Journal of Mathematical Physics, v. 60, n. 9, . (18/01558-9, 16/25963-4, 13/09357-9, 18/09575-0)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.