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Quantum Correction to Hawking Temperature and Thermodynamics of Schwarzschild AdS black holes

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arxiv 2209.09036 v3 pith:AJTTEWJC submitted 2022-09-19 gr-qc

classification gr-qc
keywords quantumblackcomputeschwarzschildcorrectedcorrectionhawkinghole
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abstract

We study the quantum corrections to the four-dimensional Schwarzschild Anti de Sitter black hole using effective field theory approach. We compute the quantum correction to Hawking temperature upto order $\mathcal{O}{(G^{2})}$ for a Schwarzschild AdS black hole when the emitted object is massless and massive. We use the expression of the modified horizon radius to compute the quantum corrected entropy upto order $\mathcal{O}{(G^{2})}$. Finally we compute quantum corrected thermodynamic parameters specific heat, free energy and pressure.

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