Noether Gauge Symmetry Approach Applying for the Non‐Minimally Coupled Gravity to the Maxwell Field

Taking the Noether gauge symmetry approach into account, spherically symmetric static black hole solutions of the non‐minimal gauge‐gravity Lagrangian of the RβF2$\mathcal {R}^\beta F^2$ model is found. At first, a system of differential equations for the general non‐minimal couplings of Y(R)F2$Y(\m...

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Bibliographic Details
Published in:Fortschritte der Physik 2023-12, Vol.71 (12), p.n/a
Main Authors: Mahmoudi, Somayyeh, Hajkhalili, Somayeh, Hendi, Seyed Hossein
Format: Article
Language:English
Subjects:
black hole
Couplings
Differential equations
Maxwell field
Noether gauge symmetry
Phase transitions
Symmetry
Thermal stability
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Summary:Taking the Noether gauge symmetry approach into account, spherically symmetric static black hole solutions of the non‐minimal gauge‐gravity Lagrangian of the RβF2$\mathcal {R}^\beta F^2$ model is found. At first, a system of differential equations for the general non‐minimal couplings of Y(R)F2$Y(\mathcal {R})F^2$ type is considered, and then, it is regarded as a particular RβF2$\mathcal {R}^\beta F^2$ non‐minimal model to find the exact black hole solution and analyze its symmetries. As the next step, the thermodynamical quantities of the black hole and its interesting behavior is calculated. Besides, thermal stability and examining the possibility of the van der Waals‐like phase transition is addressed.
ISSN:0015-8208
1521-3978
DOI:10.1002/prop.202300121