Fetching the paper…

Reading the bibliography…

2011

Initial value constraints with tensor matter

Jacobson, Ted

Original
PDF
Post on X

Understand

In generally covariant metric gravity theories with tensor matter fields, the initial value constraint equations, unlike in general relativity, are in general not just the 0\mu-components of the metric field equation.

This happens because higher derivatives can occur in the matter stress tensor.
A universal form for these constraints is derived here from a generalized Bianchi identity that includes matter fields.
As an application, the constraints for Einstein-aether theory are found.

Initial value constraints with tensor matter · Around

Built on

P. Bergmann, “Non-Linear Field Theories,” Phys. Rev. 75
1949
Earlier work this paper cites.
Weinberg, S., Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
1972
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields
1975
Earlier work this paper cites.
J. Stachel, “Einstein’s search for general covariance, 1912 - 1915,” in Einstein and the History of General Relativity
1989
Earlier work this paper cites.
J. Stachel, “The Cauchy Problem in General Relativity—The Early Years,” in Studies in the History of General Relativity
1992
Earlier work this paper cites.

Similar

M. D. Seifert, R. M. Wald, “A General variational principle for spherically symmetric perturbations in diffeomorphism covariant theories,” Phys. Rev. D75
2007
Cited alongside, same era.
M. D. Seifert, “Stability of spherically symmetric solutions in modified theories of gravity,” Phys. Rev. D76
2007
Cited alongside, same era.
T. Jacobson, “Einstein-aether gravity: A Status report,” PoS QG-PH
Original
2007
Cited alongside, same era.
D. Garfinkle, C. Eling and T. Jacobson, “Numerical simulations of gravitational collapse in Einstein-aether theory,” Phys. Rev. D 76
Original
2007
Cited alongside, same era.
P. Hořava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D79
Original
2009
Cited alongside, same era.
W. Donnelly, T. Jacobson, “Hamiltonian structure of Hořava gravity,” [arXiv:1106.2131 [hep-th]]
Original
Cited in the paper.
J. Bellorin and A. Restuccia, “Consistency of the Hamiltonian formulation of the lowest-order effective action of the complete Hořava theory,” arXiv:1106.5766 [hep-th]
Original
Cited in the paper.

Then

D. Blas, O. Pujolas, S. Sibiryakov, “Consistent extension of Hořava gravity,” Phys. Rev. Lett. 104
2010
Later among the works it cites.
J. Kluson, “Note About Hamiltonian Formalism of Healthy Extended Hořava-Lifshitz Gravity,” JHEP 1007
Original
2010
Later among the works it cites.
T. Jacobson, “Extended Hořava gravity and Einstein-aether theory,” Phys. Rev. D81
Original
2010
Later among the works it cites.
T. P. Sotiriou, “Hořava-Lifshitz gravity: a status report,” J. Phys. Conf. Ser. 283
Original
2011
Closest in time.
E. Barausse, T. Jacobson and T. P. Sotiriou, “Black holes in Einstein-aether and Hořava-Lifshitz gravity,” Phys. Rev. D 83
Original
2011

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Closest in time.