论文标题
爱因斯坦 - 马克斯韦尔作为高阶理论解决方案
Einstein-Maxwell fields as solutions of higher-order theories
论文作者
论文摘要
我们研究了四维的爱因斯坦 - 马克斯韦尔场,任何高阶校正对场方程的校正都可以有效地减少重新分配引力和宇宙常数。因此,这些构型是(实际上)任何修改的重力理论(可能是非最少的)与任何电动力学的耦合。在非肺电磁场的情况下,我们提供了这种通用溶液的完整表征,该溶液对应于Levi-Civita-bertottoti-Robinson型宇宙中传播的引力波系列。对于无效场,我们首先获得一组一般必要条件,然后为特殊的亚家族进行完整的表征,事实证明它代表了电磁波,并伴有(反)Nariai背景中的纯辐射。对于出生侵袭,Modmax和Horndeski电动力学的情况,结果被例证了。
We study four-dimensional Einstein-Maxwell fields for which any higher-order corrections to the field equations effectively reduces to just a rescaling of the gravitational and the cosmological constant. These configurations are thus simultaneous solutions of (virtually) any modified theory of gravity coupled (possibly non-minimally) to any electrodynamics. In the case of non-null electromagnetic fields we provide a full characterization of such universal solutions, which correspond to a family of gravitational waves propagating in universes of the Levi-Civita--Bertotti--Robinson type. For null fields we first obtain a set of general necessary conditions, and then a full characterization for a special subfamily, which turns out to represent electromagnetic waves accompanied by pure radiation in the (anti-)Nariai background. The results are exemplified for the case of Born-Infeld, ModMax and Horndeski electrodynamics.