Research Grants 16/07057-6 - Gravitação quântica, Relatividade geral - BV FAPESP
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Applications of the theory of self-adjoint extensions in Quantum Gravity

Grant number: 16/07057-6
Support Opportunities:Regular Research Grants
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:João Paulo Pitelli Manoel
Grantee:João Paulo Pitelli Manoel
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this project, the theory of self-adjoint extensions of symmetric operators will be applied to semiclassical gravity and quantum cosmology. My main interests are in the resolution, via quantum gravity, of the classical singularities in General Relativity, both in static spacetimes and in cosmological models. I am also interested in the stability/instability of spacetimes according to the boundary conditions at the classical singularities. The effect of the vacuum fluctuations on the light cone will also be considered. The consequences of this effect on the dimensional reduction at Planck scales will be analyzed. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (12)
(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)
BARROSO, V. S.; PITELLI, J. P. M.. Quantum scattering on a cone revisited. Physical Review D, v. 96, n. 2, . (16/07057-6, 13/09357-9)
PITELLI, J. P. M.; BARROSO, V. S.; RICHARTZ, MAURICIO. Scattering cross section and stability of global monopoles. Physical Review D, v. 96, n. 10, . (16/08862-0, 16/07057-6, 13/09357-9)
BARROSO, V. S.; PITELLI, J. P. M.. Vacuum fluctuations and boundary conditions in a global monopole. Physical Review D, v. 98, n. 6, . (16/25963-4, 13/09357-9, 16/07057-6)
ARUQUIPA, DAVID Q.; MOSNA, RICARDO A.; PITELLI, JOAO PAULO M.. Analogue gravity and radial fluid flows: The case of AdS and its deformations. Physical Review D, v. 97, n. 10, . (13/09357-9, 16/07057-6)
CARLIP, S.; MOSNA, R. A.; PITELLI, J. P. M.. Quantum fields, geometric fluctuations, and the structure of spacetime. Physical Review D, v. 102, n. 12, . (16/07057-6, 13/09357-9)
CARLIP, S.; MOSNA, R. A.; PITELLI, J. P. M.. Quantum fields, geometric fluctuations, and the structure of spacetime. PHYSICAL REVIEW D, v. 102, n. 12, p. 5-pg., . (13/09357-9, 16/07057-6)
PITELLI, J. P. M.; BARROSO, V. S.; RICHARTZ, MAURICIO. Scattering cross section and stability of global monopoles. PHYSICAL REVIEW D, v. 96, n. 10, p. 6-pg., . (13/09357-9, 16/07057-6, 16/08862-0)
BARROSO, V. S.; PITELLI, J. P. M.. Vacuum fluctuations and boundary conditions in a global monopole. PHYSICAL REVIEW D, v. 98, n. 6, p. 8-pg., . (13/09357-9, 16/07057-6, 16/25963-4)
MOSNA, RICARDO A.; PITELLI, JOAO PAULO M.; RICHARTZ, MAURICIO. Analogue model for anti-de Sitter as a description of point sources in fluids. PHYSICAL REVIEW D, v. 94, n. 10, p. 6-pg., . (13/09357-9, 16/07057-6)
BARROSO, V. S.; PITELLI, J. P. M.. Quantum scattering on a cone revisited. PHYSICAL REVIEW D, v. 96, n. 2, p. 6-pg., . (13/09357-9, 16/07057-6)
MOSNA, RICARDO A.; PITELLI, JOAO PAULO M.; RICHARTZ, MAURICIO. Analogue model for anti-de Sitter as a description of point sources in fluids. Physical Review D, v. 94, n. 10, . (16/07057-6, 13/09357-9)
ARUQUIPA, DAVID Q.; MOSNA, RICARDO A.; PITELLI, JOAO PAULO M.. Analogue gravity and radial fluid flows: The case of AdS and its deformations. PHYSICAL REVIEW D, v. 97, n. 10, p. 7-pg., . (13/09357-9, 16/07057-6)

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