论文标题
超越Horndeski理论中球形对称物的紧凑物体
Compact objects of spherical symmetry in beyond Horndeski theories
论文作者
论文摘要
我们以静态和球面对称的时空中的Horndeski理论分析了Horndeski的所有通用性。通过引入四个辅助功能，我们以特别紧凑的形式编写字段方程。我们表明，假设奇偶校验对称性会使系统直接整合，从而为多个黑洞溶液提供了多个家族。这些通常具有渐近式的Reissner-Nordstrom行为，并且在标量场的规范动力学项的情况下出现。在没有奇偶校验对称性的情况下，我们提出了一种通用方法，该方法使我们能够仅选择一个耦合函数和辅助数量的形式来整合场方程。这种方法导致渐近平坦，并具有具有不同特性的黑洞溶液。最终，我们讨论了这种情况下的错误转换，以此作为获得不同理论中虫洞和黑洞解决方案的一种手段。
We analyse in all generality beyond Horndeski theories of shift symmetry in a static and spherically symmetric spacetime. By introducing four auxiliary functions, we write the field equations in a particularly compact form. We show that assuming additionally parity symmetry renders the system directly integrable giving multiple families of black-hole solutions. These have typically an asymptotically-flat Reissner-Nordstrom behaviour, and emerge in the presence of a canonical kinetic term for the scalar field. In the absence of parity symmetry, we present a general method which allows us to integrate the field equations by choosing the form of only one coupling function and an auxiliary quantity. This method leads to asymptotically flat and AdS black hole solutions with differing properties. We finally discuss disformal transformations within this context as a means of obtaining wormhole and black hole solutions in different theories.
