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Anisotropic Strange Star in 5D Einstein-Gauss-Bonnet Gravity
Mahmood Khalid Jasim1, Sunil Kumar Maurya1, Ksh Newton Singh2
1Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa PC 616, Oman.
This study presents a new anisotropic strange star model in 5D Einstein-Gauss-Bonnet gravity. The model demonstrates physical viability and stability, with properties depending on the Gauss-Bonnet coupling constant.
Area of Science:
- Astrophysics
- Theoretical Physics
- Gravitational Physics
Background:
- Strange stars are hypothetical compact objects composed of strange quark matter.
- Einstein-Gauss-Bonnet (EGB) gravity is a modification of Einstein's theory of general relativity in higher dimensions.
Purpose of the Study:
- To investigate a novel anisotropic strange star model within 5D EGB gravity.
- To explore the physical viability and stability of such a model.
Main Methods:
- Utilized a linear equation of state (EOS) pr=βρ+γ.
- Employed a well-behaved ansatz for the gravitational potential.
- Matched parameters with the Boulware-Deser solution at the boundary.
- Applied a modified Tolman-Oppenheimer-Volkoff (TOV) equation for hydrostatic equilibrium.
Main Results:
- Derived expressions for gravitational potentials and thermodynamical variables (pressure, energy density).
- Confirmed the physical viability and dynamical stability of the strange star model.
- Established a mass-radius relationship, showing dependence on the Gauss-Bonnet coupling constant (α).
Conclusions:
- The developed anisotropic strange star model in 5D EGB gravity is physically plausible.
- Model parameters and characteristics, including compactness and surface redshift, are influenced by the Gauss-Bonnet coupling constant.
- The model remains within theoretical limits, such as the Buchdahl limit.
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