Volume 115, Number 4, August 2016
|Number of page(s)||7|
|Published online||21 September 2016|
Variations in the fine-structure constant constraining gravity theories
1 Departamento de Física, Universidade Federal da Paraíba - Caixa Postal 5008, CEP 58051-970, João Pessoa, PB, Brazil
2 Grupo de Física Teórica (GFT), Centro de Ciências e Tecnologia, Universidade Estadual do Ceará CEP 60740-000, Fortaleza, Ceará, Brazil
3 Grupo de Física Teórica (GFT), Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras de Iguatu - Iguatu, Ceará, Brazil
4 Grupo de Física Teórica (GFT), Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras do Sertão Central - Quixadá, Ceará, Brazil
5 Centro de Ciências, Tecnologia e Saúde, Universidade Estadual da Paraíba - CEP 58233-000, Araruna, PB, Brazil
Received: 7 June 2016
Accepted: 29 August 2016
In this paper, we investigate how the fine-structure constant, α, locally varies in the presence of a static and spherically symmetric gravitational source. The procedure consists in calculating the solution and the energy eigenvalues of a massive scalar field around that source, considering the weak-field regime. From this result, we obtain expressions for a spatially variable fine-structure constant by considering suitable modifications in the involved parameters admitting some scenarios of semi-classical and quantum gravities. Constraints on free parameters of the approached theories are calculated from astrophysical observations of the emission spectra of a white dwarf. Such constraints are finally compared with those obtained in the literature.
PACS: 04.40.-b – Self-gravitating systems; continuous media and classical fields in curved spacetime / 04.50.Kd – Modified theories of gravity / 04.62.+v – Quantum fields in curved spacetime
© EPLA, 2016
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