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Testing Gauss-Bonnet gravity with x-ray binary observations

Bakhodirkhon SaidovNational Research University TIIAMEBakhtiyor NarzilloevInstitute for Advanced Studies, New Uzbekistan University, Movarounnahr str. 1, Tashkent 100000, UzbekistanIbrar HussainNational University of Sciences and TechnologyAhmadjon AbdujabbarovTashkent State Technical UniversityBobomurat AhmedovNew Uzbekistan University

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We examine the spacetime geometry of the spinning black hole in Gauss-Bonnet gravity as a model for the geometry around several x-ray binary black hole sources; A0620-00, H1743-322, XTE J1550-564, GRS1124-683, GRO J1655-40, and $\mathrm{GRS}1915+105$. This metric extends the Kerr solution by including a Gauss-Bonnet coupling parameter $\ensuremath{\alpha}$, capturing higher-curvature corrections. We first assess whether observed radiative efficiencies can be reproduced within this framework. We then analyze whether the spacetime geometry of the spinning black hole in Gauss-Bonnet gravity can also account for the observed jet powers. While most sources show consistent behavior across Lorentz factors $\mathrm{\ensuremath{\Gamma}}$, GRS1124-683 exhibits greater sensitivity. Combining both radiative and jet constraints, we identify overlapping parameter regions for A0620-00, H1743-322, GRO J1655-40, and XTE J1550-564. For GRS1124-683, overlap depends on the assumed $\mathrm{\ensuremath{\Gamma}}$, and for $\mathrm{GRS}1915+105$, no consistent region is found under current assumptions. Our results highlight both the potential and limitations of Gauss-Bonnet gravity in describing strong-field astrophysical systems.

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