2009

Detailed balance in Horava-Lifshitz gravity

Calcagni, Gianluca

Understand

We study Horava-Lifshitz gravity in the presence of a scalar field.

When the detailed balance condition is implemented, a new term in the gravitational sector is added in order to maintain ultraviolet stability.
The four-dimensional theory is of a scalar-tensor type with a positive cosmological constant and gravity is nonminimally coupled with the scalar and its gradient terms.
The scalar field has a double-well potential and, if required to play the role of the inflation, can produce a scale-invariant spectrum.

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R.T. Seeley, Amer. Math. Soc. Proc. Symp. Pure Math. 10
1967
Earlier work this paper cites.
L. Hörmander, Acta Math. 121
1968
Earlier work this paper cites.
L. Hörmander, Acta Math. 127
1971
Earlier work this paper cites.
A. Yoshikawa, Proc. Jpn. Acad. 49
1973
Earlier work this paper cites.
G.L. Bullock, Am. Math. Mon. 95
1988
Earlier work this paper cites.
B.-W. Schulze, Pseudo-differential Operators on Manifolds with Singularities (Elsevier, Amsterdam, 1991)
1991
Earlier work this paper cites.
V.S Kiryakova, Generalized Fractional Calculus and Applications (Chapman and Hall/CRC, New York, 1993)
1993
Earlier work this paper cites.
S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and Derivatives (Gordon and Breach, New York, 1993)
1993
Earlier work this paper cites.
C.G. Bollini and J.J. Giambiagi, J. Math. Phys. 34
1993
Earlier work this paper cites.
J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996)
1996
Earlier work this paper cites.
D.L. Wiltshire, in Cosmology: The Physics of the Universe , edited by B. Robson, N. Visvanathan, and W.S. Woolcock (World Scientific, Singapore, 1996), p. 473 [arXiv:gr-qc/0101003]
1996
Earlier work this paper cites.
F. Riewe, Phys. Rev. E 53
1996
Earlier work this paper cites.
F. Riewe, Phys. Rev. E 55
1997
Earlier work this paper cites.
D.G. Barci, C.G. Bollini, L.E. Oxman, and M.C. Rocca, Int. J. Theor. Phys. 37
1998
Earlier work this paper cites.
I. Podlubny, Fractional Differential Equations (Academic Press, San Diego, 1999)
1999
Earlier work this paper cites.
M.A. Shubin, Pseudodifferential Operators and Spectral Theory (Springer-Verlag, Berlin, 2001)
2001
Earlier work this paper cites.
H. Yang, J. High Energy Phys. 11 (2002) 007 [arXiv:hep-th/0209197]
2002
Earlier work this paper cites.
I. Podlubny, Fract. Calc. Appl. Anal. 5
2002
Earlier work this paper cites.
F.-Y. Ren, J.-R. Liang, X.-T. Wang, and W.-Y. Qiu, Chaos Solitons Fractals 16
2003
Earlier work this paper cites.
J. Collins, A. Perez, D. Sudarsky, L. Urrutia, and H. Vucetich, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
V.E. Tarasov, Chaos 14
2004
Earlier work this paper cites.
V.E. Tarasov, Phys. Rev. E 71
2005
Earlier work this paper cites.
V.E. Tarasov, J. Phys. A 38
2005
Earlier work this paper cites.
V.E. Tarasov, J. Phys. Conf. Ser. 7
2005
Earlier work this paper cites.
V.E. Tarasov, Mod. Phys. Lett. B 19
2005
Earlier work this paper cites.
Q.-Y. Guan and Z.-M. Ma, Probab. Theory Relat. Fields 134
2006
Earlier work this paper cites.

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