Fetching the paper…

Reading the bibliography…

Relativistic Quantum Gravity at a Lifshitz Point · Around

2009

Relativistic Quantum Gravity at a Lifshitz Point

Germani, Cristiano, Kehagias, Alex, Sfetsos, Konstadinos

Original
PDF
Post on X

Understand

We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms.

In this respect, although being fully relativistic, it results to be locally anisotropic in the time-like and space-like directions defined by a family of irrotational observers.
We show that this theory propagates generically three degrees of freedom: two of them are related to the four-dimensional diffeomorphism invariant graviton (the metric) and one is related to a propagating scalar mode.
Finally, we note that in the present formulation, matter can be consistently coupled to gravity.

Built on

R. Arnowitt, S. Deser and S.W. Misner, The dynamics of general relativity
1962
Earlier work this paper cites.
K. S. Stelle, Renormalization Of Higher Derivative Quantum Gravity
1977
Earlier work this paper cites.
S. Weinberg, Ultraviolet Divergences in Quantum Theories of Gravitation, in: General Relativity. An Einstein Centenary Survey
1980
Earlier work this paper cites.
R.M. Wald, General Relativity,
1984
Earlier work this paper cites.
R.T. Jantzen, P. Carini and D. Bini, The Many Faces Of Gravitoelectromagnetism
1992
Earlier work this paper cites.
T. Jacobson and D. Mattingly, Gravity with a dynamical preferred frame
2001
Earlier work this paper cites.
H.W. Diehl, S. Rutkevich and A. Gerwinski, Surface critical behaviour at m-axial Lifshitz points: continuum models, boundary conditions and two-loop renormalization group results
2003
Earlier work this paper cites.

Similar

S. Chadha and H. B. Nielsen, Lorentz Invariance As A Low-Energy Phenomenon
2004
Cited alongside, same era.
N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity
2004
Cited alongside, same era.
T. Jacobson and D. Mattingly, Einstein-aether waves
2004
Cited alongside, same era.
J.D. Bekenstein, Relativistic gravitation theory for the MOND paradigm
2005
Cited alongside, same era.
M. Niedermaier, The asymptotic safety scenario in quantum gravity: An introduction,
Original
2007
Cited alongside, same era.
J. Hewett and T. Rizzo, Collider Signals of Gravitational Fixed Points,

Then

V.A. Kostelecky and S. Samuel, Gravitational Phenomenology In Higher Dimensional Theories And Strings
Original
2008
Later among the works it cites.
P. Hořava, Quantum Gravity at a Lifshitz Point
Original
2009
Closest in time.
P. Hořava, Membranes at Quantum Criticality
Original
2009
Closest in time.
A. Kehagias and K. Sfetsos, The black hole and FRW geometries of non-relativistic gravity
Original
2009
Closest in time.
T.P. Sotiriou, M. Visser and S. Weinfurtner, Phenomenologically viable Lorentz-violating quantum gravity
Original
2009

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2007

Cited alongside, same era.

R. Percacci, Asymptotic Safety,

Cited in the paper.

A. Shomer, A pedagogical explanation for the non-renormalizability of gravity

Cited in the paper.

M. Visser, Lorentz symmetry breaking as a quantum field theory regulator

Cited in the paper.

E. Gourgoulhon, 3+1 Formalism and Bases of Numerical Relativity,

Cited in the paper.

H. Lu, J. Mei and C. N. Pope, Solutions to Horava Gravity

Cited in the paper.

T. Takahashi and J. Soda, Chiral Primordial Gravitational Waves from a Lifshitz Point

Cited in the paper.

Closest in time.

D. Blas, O. Pujolas and S. Sibiryakov, JHEP 0910

2009

Closest in time.