Hořava–Lifshitz gravity: Difference between revisions

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'''Hořava-Lifshitz gravity''' (or '''Hořava gravity''') is a theory of [[quantum gravity]] proposed by [[Petr Hořava]] in 2009.<ref>[http://arxiv.org/abs/0901.3775 Quantum Gravity at a Lifshitz Point], Petr Hořava, 2009</ref> It solves the problem of different concepts of time in [[quantum field theory]] and [[general relativity]] by treating the quantum concept as the more fundamental so that space and time are not equivalent ([[Anisotropy|anisotropic]]). The relativistic concept of time with its [[Lorentz invariance]] emerges at large distances. The theory relies on the theory of [[foliation]]s to produce its [[causal structure]]. It is related to [[topologically massive gravity]] and the [[Cotton tensor]]. It is a possible [[UV completion]] of general relativity. The novelty of this approach, compared to previous approaches to quantum gravity such as [[Loop quantum gravity]], is that it uses concepts from [[condensed matter physics]] such as [[Quantum critical point|quantum critical phenomena]]. Hořava's initial formulation was found to have side-effects such as predicting very different results for a spherical [[Sun]] compared to a slightly non-spherical Sun, so others have modified the theory. Inconsistencies remain.<ref>[http://arxiv.org/pdf/0906.3046 On the Extra Mode and Inconsistency of Hořava Gravity], D. Blas, O. Pujolàs, S. Sibiryakov, 2009</ref><ref>[http://arxiv.org/abs/0910.1998 Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity], Kazuya Koyama, Frederico Arroja, 2009</ref>
'''Hořava-Lifshitz gravity''' (or '''Hořava gravity''') is a theory of [[quantum gravity]] proposed by [[Petr Hořava]] in 2009.<ref>{{Cite journal |last=Hořava |first=Petr |year=2009 |title=Quantum gravity at a Lifshitz point |journal=[[Physical Review D|Phys. Rev. D]] |volume=79 |issue=8 |pages=084008 |doi=10.1103/PhysRevD.79.084008 }}</ref> It solves the problem of different concepts of time in [[quantum field theory]] and [[general relativity]] by treating the quantum concept as the more fundamental so that space and time are not equivalent ([[Anisotropy|anisotropic]]). The relativistic concept of time with its [[Lorentz invariance]] emerges at large distances. The theory relies on the theory of [[foliation]]s to produce its [[causal structure]]. It is related to [[topologically massive gravity]] and the [[Cotton tensor]]. It is a possible [[UV completion]] of general relativity. The novelty of this approach, compared to previous approaches to quantum gravity such as [[Loop quantum gravity]], is that it uses concepts from [[condensed matter physics]] such as [[Quantum critical point|quantum critical phenomena]]. Hořava's initial formulation was found to have side-effects such as predicting very different results for a spherical [[Sun]] compared to a slightly non-spherical Sun, so others have modified the theory. Inconsistencies remain.<ref>{{Cite journal |last=Blas |first=D. |last2=Pujolàs |first2=O. |last3=Sibiryakov |first3=S. |year=2009 |title=On the extra mode and inconsistency of Hořava gravity |journal=Journal of High Energy Physics |volume=2009 |issue=10 |pages=029 |doi=10.1088/1126-6708/2009/10/029 }}</ref><ref>{{Cite journal |last=Koyama |first=Kazuya |last2=Arroja |first2=Frederico |year=2010 |title=Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity |journal=Journal of High Energy Physics |volume=2010 |issue=3 |pages=1–11 |doi=10.1007/JHEP03(2010)061 }}</ref>


==See also==
==See also==
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==References==
==References==
{{reflist|2}}
{{reflist}}


== External links==
== External links==

Revision as of 23:14, 11 September 2010

Hořava-Lifshitz gravity (or Hořava gravity) is a theory of quantum gravity proposed by Petr Hořava in 2009.[1] It solves the problem of different concepts of time in quantum field theory and general relativity by treating the quantum concept as the more fundamental so that space and time are not equivalent (anisotropic). The relativistic concept of time with its Lorentz invariance emerges at large distances. The theory relies on the theory of foliations to produce its causal structure. It is related to topologically massive gravity and the Cotton tensor. It is a possible UV completion of general relativity. The novelty of this approach, compared to previous approaches to quantum gravity such as Loop quantum gravity, is that it uses concepts from condensed matter physics such as quantum critical phenomena. Hořava's initial formulation was found to have side-effects such as predicting very different results for a spherical Sun compared to a slightly non-spherical Sun, so others have modified the theory. Inconsistencies remain.[2][3]

See also

References

  1. ^ Hořava, Petr (2009). "Quantum gravity at a Lifshitz point". Phys. Rev. D. 79 (8): 084008. doi:10.1103/PhysRevD.79.084008.
  2. ^ Blas, D.; Pujolàs, O.; Sibiryakov, S. (2009). "On the extra mode and inconsistency of Hořava gravity". Journal of High Energy Physics. 2009 (10): 029. doi:10.1088/1126-6708/2009/10/029.
  3. ^ Koyama, Kazuya; Arroja, Frederico (2010). "Pathological behaviour of the scalar graviton in Hořava-Lifshitz gravity". Journal of High Energy Physics. 2010 (3): 1–11. doi:10.1007/JHEP03(2010)061.

External links