Rotating black holes are constructed in Carroll gravity via connection freedom and an odd-power GR expansion, yielding an intrinsically Carrollian rotating solution and the Kerroll black hole analog.
Carroll versus Galilei Gravity
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We consider two distinct limits of General Relativity that in contrast to the standard non-relativistic limit can be taken at the level of the Einstein-Hilbert action instead of the equations of motion. One is a non-relativistic limit and leads to a so-called Galilei gravity theory, the other is an ultra-relativistic limit yielding a so-called Carroll gravity theory. We present both gravity theories in a first-order formalism and show that in both cases the equations of motion (i) lead to constraints on the geometry and (ii) are not sufficient to solve for all of the components of the connection fields in terms of the other fields. Using a second-order formalism we show that these independent components serve as Lagrange multipliers for the geometric constraints we found earlier. We point out a few noteworthy differences between Carroll and Galilei gravity and give some examples of matter couplings.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
citing papers explorer
-
Kerroll black holes
Rotating black holes are constructed in Carroll gravity via connection freedom and an odd-power GR expansion, yielding an intrinsically Carrollian rotating solution and the Kerroll black hole analog.
-
Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.