常规巴deen黑洞解在拉斯塔尔理论中的研究：一种引力分离方法
Regular Bardeen Black Hole Solutions in Rastall Theory: A Gravitational Decoupling Approach
AI总结：
本研究利用引力分离方法，在Rastall理论中提出新的巴deen黑洞解，分析了其热力学特性与稳定性。
摘要：
本研究应用广义的引力分离技术到巴deen黑洞，产生出Rastall理论中的新黑洞解。我们通过将对应于额外物质源的场方程分解为两组，进行进一步考虑。巴deen黑洞的度规函数被采用以指定第一组。第二组，受额外源影响，通过考虑物质的线性方程状态来解决。通过整合这些组的解，我们开发出两个扩展模型，并深入分析其不同的物理特性，这些特性由特定参数决定。我们研究了密度、各向异性压力、能量界限、渐近平坦性和热力学性质如霍金温度、熵和比热等。两个模型都是渐近平坦的，但违反了能量界限。此外，密度、径向压力和霍金温度表现出一致且可接受的行为。最终，通过分析比热和海森堡矩阵，确认了热力学稳定性。
英文摘要：
This research applies the generalized technique of gravitational decoupling to the Bardeen black hole, producing novel black hole solutions in the context of Rastall theory. We proceed by decomposition of the field equations corresponding to an additional matter source into two sets, for further considerations. The metric functions of the Bardeen black hole are adopted to specify the first set. The second one, which is subject to an extra source, is resolved considering a linear equation of state of matter. Through the integration of the solutions of these sets, we develop two expanded models and conduct an in-depth analysis of their distinct physical characteristics, governed by specific parameters. We investigate thermodynamic quantities like density, anisotropic pressure, energy bounds, asymptotic flatness, and thermodynamical properties like the Hawking temperature, entropy, and specific heat, etc. Both models are asymptotically flat but violate the energy bounds. Furthermore, the density, radial pressure, and Hawking temperature demonstrate consistent and acceptable behavior. Ultimately, the thermodynamic stability is affirmed through the analysis of specific heat and the Hessian matrix.
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