https://doi.org/10.1140/epjc/s10052-022-10498-4
Regular Article -Theoretical Physics
Non-radial oscillations and global stellar properties of anisotropic compact stars using realistic equations of state
1
Departamento de Física-CCET, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, CEP 65080-805, São Luís, MA, Brazil
2
Centro de Ciências Exatas, Naturais e Tecnológicas-CCENT, Universidade Estadual da Região Tocantina do Maranhão (UEMASUL), CEP 65901-480, Imperatriz, MA, Brazil
3
Departamento de Física, Instituto Tecnológico de Aeronáutica, DCTA, CEP 12228-900, São José dos Campos, SP, Brazil
b lrb.castro@ufma.br, bcastro.luisr@gmail.com
Received:
18
September
2021
Accepted:
6
June
2022
Published online:
14
June
2022
In this work, we have made a systematic study of how the gravitational wave frequency of the fundamental mode from compact stars is affected by anisotropic effects using realistic equations of state. Our study is an extension of the seminal research performed by Doneva [Phys Rev D 85:124023, 2012, https://doi.org/10.1103/PhysRevD.85.124023], where a polytropic equation of state was used. To achieve our objective, we considered compact stars which were built by using equations of state in the framework of a relativistic mean field theory for the case of hadronic stars and in the framework of the MIT model for the case of quark stars. In order to obtain some pertinent information that could give us the possibility to detect the anisotropy in compact stars, we also studied and analized the behaviour of various global stellar quantities, e.g., gravitational redshift, stellar mass, radius, among others. We concluded that the anisotropic effects can have important consequences, which are strongly related to the anisotropic parameter and the equation of state of high density matter. Additionally, a comparison with observational data has been made and we have shown that the anisotropic parameter 
can be used as a tuning parameter to reproduce mass and radius observational data of neutron stars.
© The Author(s) 2022
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