Derives NLO Kerr-type and Hartle-Thorne-type solutions plus NNLO mixed spin-quadrupole solutions in the Galilean branch of nonrelativistic gravity.
Non-Relativistic Gravity and its Coupling to Matter
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The NLO/NNLO small-c (Carroll) expansion of GR admits a rich stationary vacuum sector with rotating Lense-Thirring-type, C-metric-type, Hartle-Thorne-type, and higher-multipole solutions, going beyond the static magnetic Carroll truncation.
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.
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geometry satisfying a non-relativistic JT action.
citing papers explorer
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Spin and Quadrupole Sectors in Nonrelativistic Gravity
Derives NLO Kerr-type and Hartle-Thorne-type solutions plus NNLO mixed spin-quadrupole solutions in the Galilean branch of nonrelativistic gravity.
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Stationary solutions in the small-$c$ expansion of GR
The NLO/NNLO small-c (Carroll) expansion of GR admits a rich stationary vacuum sector with rotating Lense-Thirring-type, C-metric-type, Hartle-Thorne-type, and higher-multipole solutions, going beyond the static magnetic Carroll truncation.
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Kerroll black holes
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.
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Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space
The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geometry satisfying a non-relativistic JT action.