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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Energy nonconservation as a link between f(R,T) gravity and noncommutative quantum theory

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Autor(es):
Lobato, Ronaldo V. [1, 2, 3, 4] ; Carvalho, G. A. [1, 2, 3, 4] ; Martins, A. G. [5] ; Moraes, P. H. R. S. [1]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Inst Tecnol Aeronaut, Dept Fis, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[2] Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome - Italy
[3] Sapienza Univ Roma, ICRA, Ple Aldo Moro 5, I-00185 Rome - Italy
[4] ICRANet, Pzza Repubbl 10, I-65122 Pescara - Italy
[5] Univ Estado Para, Dept Ciencias Nat, BR-66050540 Belem, Para - Brazil
Número total de Afiliações: 5
Tipo de documento: Artigo Científico
Fonte: EUROPEAN PHYSICAL JOURNAL PLUS; v. 134, n. 4 APR 2019.
Citações Web of Science: 0
Resumo

.f (R, T) gravity was proposed as an extension of the f(R) theories, containing not just geometrical correction terms to the General Relativity equations, but also material correction terms, dependent on the trace of the energy-momentum tensor T . These material extra terms prevent the energy-momentum tensor of the theory from being conserved, even in a flat background. Energy nonconservation is a prediction of quantum theory with time-space noncommutativity. If time is considered as an operator and there are compact spatial coordinates which do not commute with time, then the time evolution gets quantized and energy conservation can be violated. In the present work we construct a model in a 5-dimensional flat spacetime consisting of 3 commutative spatial dimensions and 1 compact spatial dimension whose coordinate does not commute with time. We show that energy flows from the 3-dimensional commutative slice into the compact extra dimension (and vice versa), so that conservation of energy is restored. In this model the energy flux is proportional to the energy density of the matter content, leading to a differential equation for f(R,T), thus providing a physical criterion to restrict the functional form of f(R,T). We solve this equation and analyze the behavior of its solution in a spherically symmetric context. (AU)

Processo FAPESP: 15/08476-0 - Ondas gravitacionais em teorias f(R,T): estados de polarização e fontes astrofísicas
Beneficiário:Pedro Henrique Ribeiro da Silva Moraes
Linha de fomento: Bolsas no Brasil - Pós-Doutorado