Applications of the theory of self-adjoint extensions in Quantum Gravity

• Grant number: 16/07057-6
• Support Opportunities: Regular Research Grants
• Duration: July 01, 2016 - June 30, 2018
• 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)

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, JUL 12 2017. (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, NOV 27 2017. (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, SEP 11 2018. (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, MAY 30 2018. (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, DEC 11 2020. (16/07057-6, 13/09357-9)

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., 2016-11-28. (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., 2017-11-27. (13/09357-9, 16/07057-6, 16/08862-0)

BARROSO, V. S.; PITELLI, J. P. M.. Quantum scattering on a cone revisited. PHYSICAL REVIEW D, v. 96, n. 2, p. 6-pg., 2017-07-12. (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, p. 5-pg., 2020-12-11. (13/09357-9, 16/07057-6)

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., 2018-09-11. (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, NOV 28 2016. (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., 2018-05-30. (13/09357-9, 16/07057-6)