E&M in a curved space-time refers to the study of how electromagnetic fields behave in the presence of a curved space-time, which is a fundamental concept in Einstein's theory of general relativity.
The concept of E&M in a curved space-time is relevant to scientific research because it helps us understand how electromagnetic fields interact with gravity, which is crucial for understanding the behavior of objects in the universe, such as black holes.
Yes, there are many books and papers that discuss E&M in a curved space-time in detail. Some recommended books include "Gravitation" by Charles Misner, Kip Thorne, and John Wheeler, and "General Relativity" by Robert M. Wald. Papers can also be found on various online databases, such as arXiv.org.
Some key concepts to understand in E&M in a curved space-time include the equivalence principle, which states that gravity and acceleration are indistinguishable, and the geodesic equation, which describes the trajectory of a free-falling object in a curved space-time.
E&M in a curved space-time differs from E&M in a flat space-time in that the presence of gravity in a curved space-time affects the behavior of electromagnetic fields. In a flat space-time, electromagnetic fields propagate in straight lines, but in a curved space-time, their paths are curved due to the influence of gravity.