Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
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.
展开 ▾$F(R)$引力中加速带电ModMax黑洞解 · 在F(R)-ModMax理论框架下,推导了加速带电ModMax黑洞解,并研究了参数对霍金温度、熵、稳定性和阴影的影响。
预印本 2026-07-17 · 接收 2026-06-12 · 刊出 2026-06-25 · 收录 2026-07-20