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Analytically Approximation Solution to Higher Derivative Gravity

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abstract

We obtain analytical approximate black hole solutions for higher derivative gravity in the presence of Maxwell electromagnetic source. We construct near horizon and asymptotic solutions and then use these to obtain an approximate analytic solution using a continued fraction method to get a complete solution. We compute the thermodynamic quantities and check the first law and Smarr formula. Finally, we investigate the null and time-like geodesics of this black hole.

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gr-qc 1

years

2025 1

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representative citing papers

Superradiance of Charged Static Black Hole in Cubic Gravity

gr-qc · 2025-05-23 · conditional · novelty 4.0

A charged black hole in Einstein-cubic gravity, built from first-law consistency and a continued fraction metric, amplifies charged scalar waves below the standard Reissner-Nordstrom superradiance threshold, with stronger amplification for larger charge and larger cubic coupling.

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  • Superradiance of Charged Static Black Hole in Cubic Gravity gr-qc · 2025-05-23 · conditional · none · ref 2 · internal anchor

    A charged black hole in Einstein-cubic gravity, built from first-law consistency and a continued fraction metric, amplifies charged scalar waves below the standard Reissner-Nordstrom superradiance threshold, with stronger amplification for larger charge and larger cubic coupling.