Built on

L. P. Eisenhart, “Dynamical Trajectories and Geodesics,” Annals of Mathematics
1928
Earlier work this paper cites.
A. Trautman, “Sur la theorie newtonienne de la gravitation,” Compt. Rend. Acad. Sci. Paris
1963
Earlier work this paper cites.
H. Kuenzle, “Galilei and lorentz structures on space-time - comparison of the corresponding geometry and physics,” Annales Poincare Phys.Theor
1972
Earlier work this paper cites.
C. Duval, G. Burdet, H. Kunzle, and M. Perrin, “Bargmann Structures and Newton-Cartan Theory,” Phys.Rev
1985
Earlier work this paper cites.
G. Dautcourt, “On the Newtonian Limit of General Relativity,” Acta Phys. Pol. B
1990
Earlier work this paper cites.
C. Duval, G. W. Gibbons, and P. Horvathy, “Celestial mechanics, conformal structures and gravitational waves,” Phys.Rev
1991
Earlier work this paper cites.
B. Julia and H. Nicolai, “Null Killing vector dimensional reduction and Galilean geometrodynamics,” Nucl.Phys
1995
Earlier work this paper cites.
K. Koyama and F. Arroja, “Pathological behaviour of the scalar graviton in Horava-Lifshitz gravity,” JHEP
Original
1998
Earlier work this paper cites.
D. Son, “Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrodinger symmetry,” Phys.Rev
Original
2008
Earlier work this paper cites.
K. Balasubramanian and J. McGreevy, “Gravity duals for non-relativistic CFTs,” Phys.Rev.Lett
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu, and M. Mulligan, “Gravity Duals of Lifshitz-like Fixed Points,” Phys.Rev
Original
2008
Earlier work this paper cites.
P. Horava, “Membranes at Quantum Criticality,” JHEP
Original
2009
Earlier work this paper cites.
P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys.Rev
Original
2009
Earlier work this paper cites.
C. Germani, A. Kehagias, and K. Sfetsos, “Relativistic Quantum Gravity at a Lifshitz Point,” JHEP
Original
2009
Earlier work this paper cites.
R.-G. Cai, B. Hu, and H.-B. Zhang, “Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity,” Phys.Rev
Original
2009
Earlier work this paper cites.
C. Charmousis, G. Niz, A. Padilla, and P. M. Saffin, “Strong coupling in Horava gravity,” JHEP
Original
2009
Earlier work this paper cites.
M. Li and Y. Pang, “A Trouble with Horava-Lifshitz Gravity,” JHEP
Original
2009
Earlier work this paper cites.

Similar

T. P. Sotiriou, M. Visser, and S. Weinfurtner, “Quantum gravity without Lorentz invariance,” JHEP
Original
2009
Cited alongside, same era.
D. Blas, O. Pujolas, and S. Sibiryakov, “On the Extra Mode and Inconsistency of Horava Gravity,” JHEP
Original
2009
Cited alongside, same era.
A. Kehagias and K. Sfetsos, “The Black hole and FRW geometries of non-relativistic gravity,” Phys.Lett
Original
2009
Cited alongside, same era.
H. Lu, J. Mei, and C. Pope, “Solutions to Horava Gravity,” Phys.Rev.Lett
Original
2009
Cited alongside, same era.
P. Horava and C. M. Melby-Thompson, “General Covariance in Quantum Gravity at a Lifshitz Point,” Phys.Rev
Original

Then

T. Griffin, P. Horava, and C. M. Melby-Thompson, “Conformal Lifshitz Gravity from Holography,” JHEP
Original
2012
Later among the works it cites.
M. Baggio, J. de Boer, and K. Holsheimer, “Anomalous Breaking of Anisotropic Scaling Symmetry in the Quantum Lifshitz Model,” JHEP
Original
2012
Later among the works it cites.
J. Ambjorn, A. Goerlich, J. Jurkiewicz, and R. Loll, “Nonperturbative Quantum Gravity,” Phys.Rept
Original
2012
Later among the works it cites.
S. Janiszewski and A. Karch, “Non-relativistic holography from Horava gravity,” JHEP
Original
2013
Later among the works it cites.
T. Griffin, P. Horava, and C. M. Melby-Thompson, “Lifshitz Gravity for Lifshitz Holography,” Phys.Rev.Lett

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2015

Horava-Lifshitz Gravity From Dynamical Newton-Cartan Geometry

Hartong, Jelle, Obers, Niels A.

Understand

Recently it has been established that torsional Newton-Cartan (TNC) geometry is the appropriate geometrical framework to which non-relativistic field theories couple.

We show that when these geometries are made dynamical they give rise to Horava-Lifshitz (HL) gravity.
Projectable HL gravity corresponds to dynamical Newton-Cartan (NC) geometry without torsion and non-projectable HL gravity corresponds to dynamical NC geometry with twistless torsion (hypersurface orthogonal foliation).
We build a precise dictionary relating all fields (including the scalar khronon), their transformations and other properties in both HL gravity and dynamical TNC geometry.