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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Rotating black strings in f(R)-Maxwell theory
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Rotating black strings in f(R)-Maxwell theory

机译：f（R）-Maxwell理论中的旋转黑弦

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摘要

In general, the field equations of f(R) theory coupled to a matter field are very complicated and hence it is not easy to find exact analytical solutions. However, if one considers the traceless energy-momentum tensor for the matter source as well as constant scalar curvature, one can derive some exact analytical solutions from f(R) theory coupled to a matter field. In this paper, by assuming a constant curvature scalar, we construct a class of charged rotating black string solutions in f(R)-Maxwell theory. We study the physical properties and obtain the conserved quantities of the solutions. The conserved and thermodynamic quantities computed here depend on the function f′(R_0) and differ completely from those of Einstein theory in anti-de Sitter spaces. Besides, unlike Einstein gravity, the entropy does not obey the area law. We also investigate the validity of the first law of thermodynamics as well as the stability analysis in the canonical ensemble, and show that the black string solutions are always thermodynamically stable in f(R)-Maxwell theory with a constant curvature scalar. Finally, we extend the study to the case where the Ricci scalar is not a constant and in particular R = R(r). In this case, by using the Lagrangian multipliers method, we derive an analytical black string solution from f(R) gravity and reconstructed the function R(r). We find that this class of solutions has an additional logarithmic term in the metric function which incorporates the effect of the f(R) theory on the solutions.
机译：通常，与物质场耦合的f（R）理论的场方程非常复杂，因此要找到精确的解析解并不容易。但是，如果考虑物源的无痕量动量张量以及恒定的标量曲率，则可以从耦合到物场的f（R）理论得出一些精确的解析解。在本文中，假设恒定曲率标量，我们根据f（R）-Maxwell理论构造了一类带电旋转黑弦解。我们研究物理性质并获得溶液的守恒量。此处计算的守恒和热力学量取决于函数f'（R_0），并且在反de Sitter空间中与爱因斯坦理论完全不同。此外，与爱因斯坦引力不同，熵不服从面积定律。我们还研究了热力学第一定律的有效性以及规范集合中的稳定性分析，并表明在恒定曲率标量的f（R）-Maxwell理论中，黑弦解始终是热力学稳定的。最后，我们将研究扩展到Ricci标量不是常数，尤其是R = R（r）的情况。在这种情况下，通过使用拉格朗日乘子方法，我们从f（R）引力推导了解析的黑线解决方案，并重建了函数R（r）。我们发现这类解决方案在度量函数中具有一个附加的对数项，其中包含f（R）理论对解决方案的影响。

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