Static charged fluid surrounded by a black antihole: An enlarged Klein solution

A new Petrov type D exact solution of the Einstein-Maxwell equations with a charged perfect fluid is obtained from the seed Klein metric for a static spherically symmetric distribution of incoherent radiation. A special case of the new solution is studied in detail, its spacetime being found to possess one horizon inside which it is static. Since the fluid behaves acausally outside the horizon, the authors match their solution to a continuous set of electrovacuum spacetimes with cosmological terms (the cosmological constant Lambda depending on the junction radius). In the new spacetime, synchronous coordinates are constructed and a red-shift effect is evaluated.