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A Hamiltonian analysis of modified theories of gravity

Grant number: 13/26571-4
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): June 01, 2014
Effective date (End): May 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Bruto Max Pimentel Escobar
Grantee:Rodrigo Santos Bufalo
Supervisor abroad: Anca Tureanu
Home Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
Local de pesquisa : University of Helsinki, Finland  
Associated to the scholarship:11/20653-3 - Higher-order field theory: a study of the generalized scalar electrodynamics, BP.PD


In the present research project we will study and explore general features of emergent modified theories of gravity which involve higher-derivatives terms (quadratic in curvature). There are numerous reasons that indicate that General Relativity is in fact an incomplete theory; in particular, its incompatibility with the quantum theory. Therefore, within the framework of field theory, as a criteria of selection it will befirst discussed their renormalizability, and, subsequently, we will perform an Hamiltonian analysis of these modified theories in the Arnowitt-Deser-Misner representation, to determine the theory correct physical degrees of freedom as well as the existence and behavior of ghosts (unstable degrees of freedom), in order to discuss whether these theories are stable in the sense of Ostrogradski. (AU)

Scientific publications (5)
(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)
BUFALO, R.; OKSANEN, M.; TUREANU, A. How unimodular gravity theories differ from general relativity at quantum level. EUROPEAN PHYSICAL JOURNAL C, v. 75, n. 10 OCT 6 2015. Web of Science Citations: 21.
BUFALO, R.; TUREANU, A. Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordstrom metric. Physical Review D, v. 92, n. 6 SEP 22 2015. Web of Science Citations: 4.
BUFALO, R. Born-Infeld electrodynamics in very special relativity. Physics Letters B, v. 746, p. 251-256, JUN 30 2015. Web of Science Citations: 12.
GHASEMKHANI, M.; BUFALO, R. Higher derivative Chern-Simons extension in the noncommutative QED(3). Physical Review D, v. 91, n. 12 JUN 11 2015. Web of Science Citations: 4.
BUFALO, R.; PIMENTEL, B. M.; SOTO, D. E. Causal approach for the electron-positron scattering in generalized quantum electrodynamics. Physical Review D, v. 90, n. 8 OCT 14 2014. Web of Science Citations: 19.

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