一般EMD类理论中黑洞热力学的新方法
A New Approach to Black Hole Thermodynamics in General EMD-like Theories
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中文总结 AI 辅助
本文提出一种新方法，通过推导热力学量、标量荷与非极端参数的关系，建立主方程，无需构造黑洞解即可获得一般EMD类理论中带电黑洞的所有热力学量，并用微扰解验证至电荷四阶。
中文摘要 AI 辅助
我们考虑一般的EMD类理论，其中包含任意数量的麦克斯韦场和膨胀标量场。我们研究带电荷的黑洞，并推导出热力学量、标量荷和非极端参数之间的若干代数与微分关系。这些关系使我们能够获得两组热力学量的主方程，具体取决于参数化系统的基本变量的选择。求解任一组主方程即可得到所有热力学量，而无需构造黑洞解。我们以电荷的幂级数展开形式微扰地获得所有热力学量，然后使用微扰黑洞解进行验证，最高包括电荷的四阶项。
英文摘要
We consider general EMD-like theories involving arbitrary numbers of both Maxwell fields and dilatonic scalars. We study charged black holes and derive several algebraic and differential relations among the thermodynamic quantities, scalar charges and the non-extremal parameter. These allow us to obtain two sets of master equations of thermodynamic quantities, depending on the choice of basic variables parameterizing the system. Solutions to either set of the master equations give rise to all the thermodynamic quantities, without constructing black hole solutions. We obtain all the thermodynamic quantities perturbatively in the power series expansions of charges, which we then verify using perturbative black hole solutions up to and including the quartic order in charges.
发表机构
- Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University（天津大学理学院物理系联合量子研究中心）
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