https://doi.org/10.1140/epjc/s10052-023-11403-3
Regular Article - Theoretical Physics
Bosonic quantum dynamics in Eddington-inspired Born–Infeld gravity global monopole spacetime
1
Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Farnando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, Brazil
2
Instituto Federal de Educação Ciência e Tecnologia do Maranhão, Campus Buriticupu, CEP 65393-000, Buriticupu, Maranhão, Brazil
3
Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá, 66075-110, Belém, PA, Brazil
c ricardo.vitoria@pq.cnpq.br, ricardo-luis91@hotmail.com
Received:
4
February
2023
Accepted:
13
March
2023
Published online:
1
April
2023
We have investigated the relativistic quantum dynamics of a bosonic field in Born–Infeld spacetime with a topological charge by characterizing the global monopole. Firstly, we have analyzed a free bosonic field, by definition, is free in this non-trivial geometry. Due to the effects of the geometry, in fact, the spin-0 boson is confined, of which it is possible to obtain solutions of bound states. Then, in order to generalize the system, we introduce the interaction of the relativistic oscillator and, analytically, we obtain the relativistic energy profile of the system.
© The Author(s) 2023
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