在\(F(R)\)引力中加速带电的ModMax黑洞解
Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
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中文总结 AI 辅助
该研究在\(F(R)-\)ModMax理论下，利用\(C -\)度规导出四维时空精确黑洞解，研究参数对加速黑洞行为的影响，计算其霍金温度和熵，探讨参数对它们的作用，通过热容量评估局部稳定性，还研究了加速黑洞的角阴影和阴影半径。
中文摘要 AI 辅助
在与ModMax非线性电磁场耦合的\(F(R)\)引力（\(F(R)-\)ModMax理论）背景下，利用\(C -\)度规，我们在四维时空中导出了一个精确的黑洞解。然后研究各种参数如何影响加速的ModMax黑洞的行为。将此黑洞视为热力学系统，在\(F(R)\)引力框架内计算加速的ModMax黑洞的霍金温度和熵。随后，探讨\(F(R)-\)ModMax理论中的参数对霍金温度和熵的影响。还通过分析热容量评估局部稳定性。此外，研究了\(F(R)-\)ModMax引力中加速黑洞的角阴影和阴影半径。
英文摘要
Using the $C-$metric in the context of $F(R)$ gravity coupled with the ModMax nonlinear electromagnetic field (the $F(R)-$ModMax theory), we derive an exact black hole solution in a four-dimensional spacetime. We then examine how various parameters influence the behavior of accelerating ModMax black holes. Treating this black hole as a thermodynamic system, we calculate the Hawking temperature and entropy for the accelerating ModMax black holes within the framework of $F(R)$ gravity. Subsequently, we explore the impact of the parameters in $F(R)-$ModMax theory on the Hawking temperature and entropy. We also assess local stability by analyzing the heat capacity. Additionally, we investigate both the angular shadow and the shadow radius of an accelerating black hole in the context of $F(R)-$ModMax gravity.
