The authors classify general Carrollian affine connections with torsion and non-metricity, show their emergence from Lorentzian limits, and build an ultra-relativistic geometric trinity of gravity theories.
The Teleparallel Equivalent of Newton-Cartan Gravity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton-Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Affine connections for Galilean and Carrollian structures: a unified perspective
The authors classify general Carrollian affine connections with torsion and non-metricity, show their emergence from Lorentzian limits, and build an ultra-relativistic geometric trinity of gravity theories.