MG14 - Talk detail

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We study Robinson-Trautman spacetimes in the presence of an aligned p-form Maxwell field and an arbitrary cosmological constant in n >= 4 dimensions. The character of these solutions depends significantly on the value of n and p. In odd dimensions, the solutions reduce to static black holes dressed with an electric and a magnetic field, with an Einstein space horizon (further constrained by the Einstein-Maxwell equations). Even dimensions, however, open up more possibilities. In particular, when 2p = n there exist non-static solutions describing black holes gaining (or losing) mass by receiving (or emitting) electromagnetic radiation. The algebraic type of the Weyl and Maxwell tensors is also discussed in the various cases, as well as conditions for self-duality. Reference: M. Ortaggio, J. Podolsky, M. Zofka, JHEP 1502 (2015) 045

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We determine the class of p-forms which possess vanishing scalar invariants (VSI) at arbitrary order in a n-dimensional spacetime. In particular, we prove that the corresponding spacetime must belong to the "degenerate" Kundt family. Although the result is theory-independent, we discuss, in particular, the special case of Maxwell fields, both at the level of test fields and of the full Einstein-Maxwell equations. These describe various classes of non-expanding electromagnetic waves. We further point out that a subset of these solutions possesses a "universal" property, i.e., they also solve any generalized (non-linear and with higher derivatives) electrodynamics, possibly also coupled to Einstein's gravity. Reference: M. Ortaggio, V. Pravda, arXiv:1506.04538 [gr-qc]

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