Built on

J. Kluson, “ ( m , n ) (m,n) -String and D1-Brane in Stringy Newton-Cartan Background,” JHEP
Original
1901
Earlier work this paper cites.
G. Weinstein, “Harmonic maps with prescribed singularities and applications in general relativity,” arXiv:1902.01576 [gr-qc]
Original
1902
Earlier work this paper cites.
J. Matulich, S. Prohazka, and J. Salzer, “Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension,” JHEP
Original
1903
Earlier work this paper cites.
N. Ozdemir, M. Ozkan, O. Tunca, and U. Zorba, “Three-Dimensional Extended Newtonian (Super)Gravity,” JHEP
Original
1903
Earlier work this paper cites.
M. Abedini, H. R. Afshar, and A. Ghodsi, “Covariant Poisson’s equation in torsional Newton-Cartan gravity,” JHEP
Original
1903
Earlier work this paper cites.
D. Hansen, J. Hartong, and N. A. Obers, “Gravity between Newton and Einstein,” Int. J. Mod. Phys
Original
1904
Earlier work this paper cites.
E. Bergshoeff, J. M. Izquierdo, T. Ortín, and L. Romano, “Lie Algebra Expansions and Actions for Non-Relativistic Gravity,” arXiv:1904.08304 [hep-th]
Original
1904
Earlier work this paper cites.
J. A. de Azcárraga, D. Gútiez, and J. M. Izquierdo, “Extended D = 3 D=3 Bargmann supergravity from a Lie algebra expansion,” arXiv:1904.12786 [hep-th]
Original
1904
Earlier work this paper cites.
L. Avilés, J. Gomis, and D. Hidalgo, “Stringy (Galilei) Newton-Hooke Chern-Simons Gravities,” JHEP
Original
1905
Earlier work this paper cites.
D. Chernyavsky and D. Sorokin, “Three-dimensional (higher-spin) gravities with extended Schrödinger and l l -conformal Galilean symmetries,” JHEP
Original
1905
Earlier work this paper cites.
J. Gomis, J. Oh, and Z. Yan, “Nonrelativistic String Theory in Background Fields,” arXiv:1905.07315 [hep-th]
Original
1905
Earlier work this paper cites.
J. Figueroa-O’Farrill, R. Grassie, and S. Prohazka, “Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes,” JHEP
Original
1905
Earlier work this paper cites.
D. M. Peñafiel and P. Salgado-Rebolledo, “Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra,” Phys. Lett
Original
1906
Earlier work this paper cites.
P. Concha and E. Rodríguez, “Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra,” JHEP
Original
1906
Earlier work this paper cites.
A. D. Gallegos, U. Gürsoy, and N. Zinnato, “Torsional Newton Cartan gravity from non-relativistic strings,” arXiv:1906.01607 [hep-th]
Original
1906
Earlier work this paper cites.
E. A. Bergshoeff, J. Gomis, J. Rosseel, C. Simsek, and Z. Yan, “String Theory and String Newton-Cartan Geometry,” arXiv:1907.10668 [hep-th]
Original
1907
Earlier work this paper cites.
T. Harmark, J. Hartong, L. Menculini, N. A. Obers, and G. Oling, “Relating non-relativistic string theories,” arXiv:1907.01663 [hep-th]
Original
1907
Earlier work this paper cites.
J. Gomis, A. Kleinschmidt, and J. Palmkvist, “Galilean free Lie algebras,” JHEP
Original
1907
Earlier work this paper cites.
C. D. A. Blair, “A worldsheet supersymmetric Newton-Cartan string,” arXiv:1908.00074 [hep-th]
Original
1908
Earlier work this paper cites.
N. Ozdemir, M. Ozkan, and U. Zorba, “Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity,” JHEP
Original
1909
Earlier work this paper cites.
J. Kluson, “T-duality of Non-Relativistic String in Torsional Newton-Cartan Background,” arXiv:1909.13508 [hep-th]
Original
1909
Earlier work this paper cites.
J. Gomis, A. Kleinschmidt, J. Palmkvist, and P. Salgado-Rebolledo, “Symmetries of post-Newtonian expansions,” arXiv:1910.13560 [hep-th]
Original
1910
Earlier work this paper cites.
P. Concha, L. Ravera, and E. Rodríguez, “Three-dimensional exotic Newtonian gravity with cosmological constant,” arXiv:1912.02836 [hep-th]
Original
1912
Earlier work this paper cites.
P. Concha, L. Ravera, and E. Rodríguez, “Three-dimensional Maxwellian extended Bargmann supergravity,” arXiv:1912.09477 [hep-th]
Original
1912
Earlier work this paper cites.
J. Armas, J. Hartong, E. Have, B. F. Nielsen, and N. A. Obers, “Newton-Cartan Submanifolds and Fluid Membranes,” arXiv:1912.01613 [hep-th]
Original
1912
Earlier work this paper cites.

Similar

A. Bagchi, R. Basu, A. Mehra, and P. Nandi, “Field Theories on Null Manifolds,” arXiv:1912.09388 [hep-th]
Original
1912
Cited alongside, same era.
E. Cartan, “Sur les variétés à connexion affine et la théorie de la rélativité généralisée (première partie),” Ann. Éc. Norm. Super
1923
Cited alongside, same era.
E. Cartan, “Sur les variétés à connexion affine et la théorie de la rélativité généralisée (première partie)(suite),” Ann. Éc. Norm. Super
1924
Cited alongside, same era.
J. B. Hartle and K. S. Thorne, “Slowly Rotating Relativistic Stars. II. Models for Neutron Stars and Supermassive Stars,” Astrophys. J
1968
Cited alongside, same era.
Chicago Univ. Pr., Chicago, USA, 1984
R. M. Wald, General Relativity · 1984
Cited alongside, same era.

Then

K. Jensen, “Aspects of hot Galilean field theory,” JHEP
Original
2015
Later among the works it cites.
M. Geracie, K. Prabhu, and M. M. Roberts, “Fields and fluids on curved non-relativistic spacetimes,” JHEP
Original
2015
Later among the works it cites.
M. Geracie, K. Prabhu, and M. M. Roberts, “Curved non-relativistic spacetimes, Newtonian gravitation and massive matter,” J. Math. Phys
Original
2015
Later among the works it cites.
E. A. Bergshoeff and J. Rosseel, “Three-Dimensional Extended Bargmann Supergravity,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
J. Hartong, Y. Lei, and N. A. Obers, “Nonrelativistic Chern-Simons theories and three-dimensional Hořava-Lifshitz gravity,” Phys. Rev

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2020

Oddity in nonrelativistic, strong gravity

Ergen, Mert, Hamamci, Efe, Bleeken, Dieter Van den

Understand

We consider the presence of odd powers of the speed of light $c$ in the covariant nonrelativistic expansion of General Relativity (GR).

The term of order $c$ in the relativistic metric is a vector potential that contributes at leading order in this expansion and describes strong gravitational effects outside the (post-)Newtonian regime.
The nonrelativistic theory of the leading order potentials contains the full non-linear dynamics of the stationary sector of GR.

Built on

J. Kluson, “ ( m , n ) (m,n) -String and D1-Brane in Stringy Newton-Cartan Background,” JHEP
Original
1901
Earlier work this paper cites.
G. Weinstein, “Harmonic maps with prescribed singularities and applications in general relativity,” arXiv:1902.01576 [gr-qc]
Original
1902
Earlier work this paper cites.
J. Matulich, S. Prohazka, and J. Salzer, “Limits of three-dimensional gravity and metric kinematical Lie algebras in any dimension,” JHEP
Original
1903
Earlier work this paper cites.
N. Ozdemir, M. Ozkan, O. Tunca, and U. Zorba, “Three-Dimensional Extended Newtonian (Super)Gravity,” JHEP
Original
1903
Earlier work this paper cites.
M. Abedini, H. R. Afshar, and A. Ghodsi, “Covariant Poisson’s equation in torsional Newton-Cartan gravity,” JHEP
Original
1903
Earlier work this paper cites.
D. Hansen, J. Hartong, and N. A. Obers, “Gravity between Newton and Einstein,” Int. J. Mod. Phys
Original
1904
Earlier work this paper cites.
E. Bergshoeff, J. M. Izquierdo, T. Ortín, and L. Romano, “Lie Algebra Expansions and Actions for Non-Relativistic Gravity,” arXiv:1904.08304 [hep-th]
Original
1904
Earlier work this paper cites.
J. A. de Azcárraga, D. Gútiez, and J. M. Izquierdo, “Extended D = 3 D=3 Bargmann supergravity from a Lie algebra expansion,” arXiv:1904.12786 [hep-th]
Original
1904
Earlier work this paper cites.
L. Avilés, J. Gomis, and D. Hidalgo, “Stringy (Galilei) Newton-Hooke Chern-Simons Gravities,” JHEP
Original
1905
Earlier work this paper cites.
D. Chernyavsky and D. Sorokin, “Three-dimensional (higher-spin) gravities with extended Schrödinger and l l -conformal Galilean symmetries,” JHEP
Original
1905
Earlier work this paper cites.
J. Gomis, J. Oh, and Z. Yan, “Nonrelativistic String Theory in Background Fields,” arXiv:1905.07315 [hep-th]
Original
1905
Earlier work this paper cites.
J. Figueroa-O’Farrill, R. Grassie, and S. Prohazka, “Geometry and BMS Lie algebras of spatially isotropic homogeneous spacetimes,” JHEP
Original
1905
Earlier work this paper cites.
D. M. Peñafiel and P. Salgado-Rebolledo, “Non-relativistic symmetries in three space-time dimensions and the Nappi-Witten algebra,” Phys. Lett
Original
1906
Earlier work this paper cites.
P. Concha and E. Rodríguez, “Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra,” JHEP
Original
1906
Earlier work this paper cites.
A. D. Gallegos, U. Gürsoy, and N. Zinnato, “Torsional Newton Cartan gravity from non-relativistic strings,” arXiv:1906.01607 [hep-th]
Original
1906
Earlier work this paper cites.
E. A. Bergshoeff, J. Gomis, J. Rosseel, C. Simsek, and Z. Yan, “String Theory and String Newton-Cartan Geometry,” arXiv:1907.10668 [hep-th]
Original
1907
Earlier work this paper cites.
T. Harmark, J. Hartong, L. Menculini, N. A. Obers, and G. Oling, “Relating non-relativistic string theories,” arXiv:1907.01663 [hep-th]
Original
1907
Earlier work this paper cites.
J. Gomis, A. Kleinschmidt, and J. Palmkvist, “Galilean free Lie algebras,” JHEP
Original
1907
Earlier work this paper cites.
C. D. A. Blair, “A worldsheet supersymmetric Newton-Cartan string,” arXiv:1908.00074 [hep-th]
Original
1908
Earlier work this paper cites.
N. Ozdemir, M. Ozkan, and U. Zorba, “Three-dimensional extended Lifshitz, Schrödinger and Newton-Hooke supergravity,” JHEP
Original
1909
Earlier work this paper cites.
J. Kluson, “T-duality of Non-Relativistic String in Torsional Newton-Cartan Background,” arXiv:1909.13508 [hep-th]
Original
1909
Earlier work this paper cites.
J. Gomis, A. Kleinschmidt, J. Palmkvist, and P. Salgado-Rebolledo, “Symmetries of post-Newtonian expansions,” arXiv:1910.13560 [hep-th]
Original
1910
Earlier work this paper cites.
P. Concha, L. Ravera, and E. Rodríguez, “Three-dimensional exotic Newtonian gravity with cosmological constant,” arXiv:1912.02836 [hep-th]
Original
1912
Earlier work this paper cites.
P. Concha, L. Ravera, and E. Rodríguez, “Three-dimensional Maxwellian extended Bargmann supergravity,” arXiv:1912.09477 [hep-th]
Original
1912
Earlier work this paper cites.
J. Armas, J. Hartong, E. Have, B. F. Nielsen, and N. A. Obers, “Newton-Cartan Submanifolds and Fluid Membranes,” arXiv:1912.01613 [hep-th]
Original
1912
Earlier work this paper cites.

Similar

A. Bagchi, R. Basu, A. Mehra, and P. Nandi, “Field Theories on Null Manifolds,” arXiv:1912.09388 [hep-th]
Original
1912
Cited alongside, same era.
E. Cartan, “Sur les variétés à connexion affine et la théorie de la rélativité généralisée (première partie),” Ann. Éc. Norm. Super
1923
Cited alongside, same era.
E. Cartan, “Sur les variétés à connexion affine et la théorie de la rélativité généralisée (première partie)(suite),” Ann. Éc. Norm. Super
1924
Cited alongside, same era.
J. B. Hartle and K. S. Thorne, “Slowly Rotating Relativistic Stars. II. Models for Neutron Stars and Supermassive Stars,” Astrophys. J
1968
Cited alongside, same era.
Chicago Univ. Pr., Chicago, USA, 1984
R. M. Wald, General Relativity · 1984
Cited alongside, same era.