Hořava (Hořava-Lifshitz) Gravity |
In General
> s.a. gravity theories; Lifshitz-Type Theories;
spacetime dimensionality.
* Idea: A non-relativistic
renormalizable theory of gravitation which reduces to Einstein's general
relativity at large distances but violates Lorentz invariance at small
distances and introduces anisotropic spacetime scaling; Proposed as a
candidate for a UV completion of Einstein's theory.
@ General references: Hořava JHEP(09)-a0812 [z = 2 membrane precursor];
Hořava PRD(09)-a0901 [z = 3 proposal];
Nikolić MPLA(10)-a0904 [and notion of particles];
Volovik JETPL(09)-a0904 [and emergent gravity, condensed-matter examples];
Charmousis et al JHEP(09)-a0905 [strong-coupling problems];
Li & Pang JHEP(09)-a0905 [canonical formulation problems];
Germani et al JHEP(09)-a0906 [as gauge-fixed vector-tensor theory of gravity];
Mukohyama JCAP(09)-a0906 [caustic avoidance];
Hořava & Melby-Thompson GRG(11)-a0909 [conformal infinity];
Merali SA(09)dec;
Soo et al PLB(11)-a1007 [as a master constraint theory];
Padilla JPCS(10)-a1009;
Sotiriou JPCS(11)-a1010 [status];
Pinzul CQG(11)-a1010 [spectral-geometry approach];
Bemfica a1010 [diffeomorphism invariance];
Visser JPCS(11)-a1103 [personal perspective];
Alexander et al PRD(12)-a1206 [from a Fermionic Aether in Ashtekar gravity];
Wang IJMPD(17)-a1701 [progress report].
@ Hamiltonian formulation:
Donnelly & Jacobson PRD(11)-a1106;
Bellorín & Restuccia PRD(11)-a1106 [lowest-order effective action];
Mukohyama et al PRD(15)-a1504 [non-projectable theory];
Devecioğlu & Park EPJC-a2001;
> s.a. other versions below.
@ Extra scalar-graviton mode:
Cai et al PRD(09)-a0905;
Blas et al JHEP(09)-a0906 [and inconsistency];
Kobakhidze PRD(10)-a0906;
Afshordi PRD(09)-a0907 [the low-energy limit is the cuscuton model];
Park CQG(11)-a0910 [decoupling and consistency];
Koyama & Arroja JHEP(10)-a0910;
Papazoglou & Sotiriou PLB(10)-a0911 [extended theory, strong coupling];
Wang & Wu PRD(11)-a1009 [stability and strong coupling];
Zhu et al PRD(11)-a1108 [elimination by local U(1) symmetry].
@ Consistency, issues:
Henneaux et al PRD(10)-a0912;
Bellorín & Restuccia IJMPD(12)-a1004;
Cartas-Fuentevilla a1304.
@ And Lorentz symmetry:
Rembieliński PLB(14)-a1309 [hidden];
Coates et al PRD(19)-a1805 [ways to recovering at low energy].
@ Related topics: Calcagni PRD(10)-a0905 [+ scalar field, and detailed balance];
Bogdanos & Saridakis CQG(10)-a0907 [ghost-like scalar instabilities];
Myung PLB(09)-a0907,
PLB(09)-a0909 [and generalized uncertainty principle];
Bellorín & Restuccia PRD(11)-a1010 [non-projectable, constraint structure];
Vernieri & Sotiriou PRD(12)-a1112,
JPCS(13)-a1212 [detailed balance];
Bellorín et al PRD(12) [constraints and positive energy];
Alencar et al PLB(15)-a1505 [effective spacetime dimension];
Frusciante et al PDU(16)-a1508 [Effective Field Theory formalism];
Pinzul a1603-proc [spectral geometry approach].
> Related topics:
see Effective Field Theory;
phenomenology of hořava gravity [including solutions];
positive-energy theorem; quantum theory.
> Online resources:
see Wikipedia page.
Different Versions > s.a. born-infeld theory.
* Non-projectable:
The commutator of two local Hamiltonian constraints leads to severely
restrictive secondary constraints and "troubles".
* Projectable: It has an
integrated Hamiltonian constraint and consistent constraint algebra, and
also an extra graviton mode, which can be problematic and is eliminated
in Einstein's theory by the local Hamiltonian constraint.
@ General references:
Sotiriou et al PRL(09)-a0904 [phenomenologically viable extension],
JHEP(09)-a0905 [classical evolution equations, graviton propagators];
Weinfurtner et al JPCS(10)-a1002 [projectable];
Chiang et al JCAP(10)-a1007 [constraints from cosmological acceleration];
Carloni et al PRD(10) [first-order, Hamiltonian and f(R) cosmology];
Shu a1009 [with stable ground state];
Restuccia & Sotomayor PRD(13)-a1302
[without extra modes and equivalent to general relativity at the linearized level];
Chaichian et al PRD(15)-a1509 [without the unwanted scalar graviton];
Chagoya & Tasinato CQG(19)-a1805 [scalar-tensor realization];
Barausse et al a2101 [degenerate generalization].
@ Covariant version:
Hořava & Melby-Thompson PRD(10)-a1007 [extra U(1) symmetry and "non-relativistic general covariance"];
da Silva CQG(11)-a1009 [alternative approach];
Alexandre & Pasipoularides PRD(11)-a1010 [spherical solutions];
Huang & Wang PRD(11)-a1011;
Hořava CQG(11)-a1101-GR19 [and causal dynamical triangulations].
@ Healthy extension: Blas et al PRL(10)-a0909;
Klusoň JHEP(10)-a1004,
PRD(10) [Hamiltonian formulation],
PRD(10) [and ghost condensation];
Kimpton & Padilla JHEP(10)-a1003;
Blas et al JHEP(11)-a1007 [healthy non-projectable extension, and phenomenology].
@ Mixed-derivative extension:
Colombo et al PRD(15)-a1410;
Coates et al PRD(16)-a1604.
@ f(R) gravity: Klusoň JHEP(09)-a0907,
PRD(10)-a0910;
Wang MPLA(11)-a1003 [dark sector];
Chaichian et al PLB(10)-a1006 [Hamiltonian analysis];
Koutsoumbas & Pasipoularides PRD(10)-a1006 [quadratic and cubic terms];
Klusoň PRD(11)-a1108 [equivalence of f(R) and scalar-tensor theories].
@ And MOND: Romero et al MPLA(10)-a1003;
Sanders PRD(11) [hiding Lorentz-invariance violation].
@ And other theories of gravity: Jacobson PRD(10)-a1001,
PRD(14)-a1310 [and Einstein-aether theory];
Lee et al PLB(11)-a1003 [Brans-Dicke theory];
Alexandre et al PRD(10)-a1004 [Liouville-Lifshitz theory];
Bellorín a1905 [with preferred foliation];
> s.a. dynamical triangulations.
@ Other dimensionalities:
Exirifard a0911 [higher-dimensional];
Sotiriou et al PRD(11)-a1103 [lower-dimensional].
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