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Work: Thermodynamics of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1989"> <mml:mrow> <mml:mi>f</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi mathvariant="double-struck">T</mml:mi> <mml:mo>,</mml:mo> <mml:mi mathvariant="script">T</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> gravity corrected black holes and physical consequences

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