Abstract
We construct charged generalizations of the dilaton C-metric in various four-dimensional theories, including STU gauged supergravity as well as a one-parameter family of Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential. In addition, we present time-dependent generalizations of the dilaton C-metric and dilaton Ernst solutions, for which the time evolution is driven by the dilaton. These C-metric solutions provide holographic descriptions of a strongly-coupled three-dimensional field theory on the background of a black hole, a gravitational soliton, and a black hole undergoing time evolution.
Highlights
In the case of the dynamical dilaton Ernst solution, one can tune the value of the magnetic field such that the cosmic string can be completely removed for all times
We find that these properties persist for all of the new C-metric solutions found in this paper
Two-charge C-metric solutions have been presented for a one-parameter family of Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential
Summary
We review the C-metric solutions in Einstein-Maxwell theory with a cosmological constant e−1L. For g = 0, the acceleration Killing horizon and the black hole event horizon can be determined by the vanishing of the quantities within the first and second set of parentheses in ∆r, respectively Both horizons are shifted by the introduction of the cosmological constant. The exception to this rule is when the mass parameter m vanishes, in which case the metric becomes an even function of x and both the north and south pole can be simultaneously made to be smooth This comes with the price of not having an event horizon, so that the curvature singularity at y = ∞ becomes naked. The magnitude of the string/strut tension must be larger than a critical value in order to keep the pair of black holes accelerating apart We find that these properties persist for all of the new C-metric solutions found in this paper. We will not always be pedantic about the C factor in referring to the charges
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