论文标题
具有隐形标量头发的一般相对性解决方案中的二次高阶标量调整理论
General Relativity solutions with stealth scalar hair in quadratic higher-order scalar-tensor theories
论文作者
论文摘要
我们在一般二次高阶标量理论中探索具有隐形标量头发的一般相对性解决方案。我们采用标量场具有恒定动力学项的假设，我们以完全协变的方式得出了一组条件，在该条件下，欧拉 - 拉格朗日方程在这些条件下允许在存在最小化与重力的一般物质成分的情况下作为精确的解决方案作为精确的解决方案。标量场具有非平凡的轮廓，可以通过整合每个度量溶液的恒定动力学项的条件来获得。我们证明了几种情况下的标量场曲线的构建，包括Kerr-Newman-De保姆时空，作为在存在宇宙常数的情况下以质量，电荷和角动量为特征的一般黑洞溶液。我们还表明，渐近的反DE保姆空间无法支撑非平凡的标量头发。
We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a set of conditions under which the Euler-Lagrange equations allow General Relativity solutions as exact solutions in the presence of a general matter component minimally coupled to gravity. The scalar field possesses a nontrivial profile, which can be obtained by integrating the condition of constant kinetic term for each metric solution. We demonstrate the construction of the scalar field profile for several cases including the Kerr-Newman-de Sitter spacetime as a general black hole solution characterized by mass, charge, and angular momentum in the presence of a cosmological constant. We also show that asymptotically anti-de Sitter spacetimes cannot support nontrivial scalar hair.
