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Magnetic Carrollian gravity from the Carroll algebra

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arxiv 2207.14167 v1 pith:HFHQVUA6 submitted 2022-07-28 hep-th gr-qc

Magnetic Carrollian gravity from the Carroll algebra

classification hep-th gr-qc
keywords carrolliangravityalgebracarrolldefinedmagneticalongeinstein
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We explicitly establish the equivalence between the magnetic Carrollian limit of Einstein gravity defined through the Hamiltonian formalism and the Carrollian theory of gravity defined through a gauging of the Carroll algebra along the lines of standard Poincar\'e (or (A)dS) gaugings.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Carroll supergravities

    hep-th 2026-07 accept novelty 6.0

    Electric and magnetic Carrollian limits of N=1, D=4 supergravity are obtained by Hamiltonian contraction, yielding ultralocal electric and gradient-retaining magnetic theories with simplified constraint algebras.

  2. Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions

    hep-th 2026-06 unverdicted novelty 6.0

    Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.

  3. Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions

    hep-th 2026-06 unverdicted novelty 6.0

    Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.

  4. Post-Carroll Algebra, Conformal Extensions, and Field Theories

    hep-th 2026-06 unverdicted novelty 6.0

    Introduces the post-Carroll algebra and its conformal extensions, including the Carroll-Schrödinger algebra, and computes two-point functions in post-Carrollian CFTs.

  5. Kerroll black holes

    hep-th 2026-05 unverdicted novelty 6.0

    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.

  6. Kerroll black holes

    hep-th 2026-05 unverdicted novelty 6.0

    Rotating black holes are constructed in magnetic Carroll gravity, including an intrinsically Carrollian dressed solution and a Kerroll black hole from an odd-power c-expansion of GR, with conserved charges computed.

  7. Stationary solutions in the small-$c$ expansion of GR

    gr-qc 2026-04 unverdicted novelty 6.0

    Exact Lense-Thirring-type, C-metric-type, and Hartle-Thorne-type stationary vacuum solutions are constructed in the NLO and NNLO small-c expansion of GR, revealing a richer sector than magnetic Carroll gravity.

  8. Post-Carroll Algebra, Conformal Extensions, and Field Theories

    hep-th 2026-06 unverdicted novelty 5.0

    Defines post-Carroll algebra allowing central charges in higher dimensions, constructs its conformal extension and the Carroll-Schrödinger algebra matching prior theory, and derives two-point functions in post-Carroll...