Lovelock Gravity| Lovelock Gravity |
In General > s.a. higher-order gravity
theories and types of higher-order theories.
* Idea: A higher-dimensional gravity
theory with higher-order curvature terms, which are considered important for the low-energy
action of string theories; Lovelock terms in the action consist of the dimensionally-extended
Euler densities, polynomial scalar densities in the Riemann curvature tensor with the property
that their Euler-Lagrange derivatives contain derivatives of the metric only up to second
order (generic polynomial scalar densities lead to Euler-Lagrange equations with derivatives
of the metric of order four).
* Properties: The theory is free from
ghosts; In these theories, gravity may travel faster or slower than light.
@ General references: Deruelle & Fariña-Busto PRD(90);
Müller-Hoissen NPB(90);
Dadhich Pra(10)-a0802 [from Bianchi derivative];
Charmousis LNP(09)-a0805 [and brane world and black holes];
Canfora et al PRD(09)-a0812
[spontaneous compactification, 4D general relativity with small cosmological constant];
Bogdanos PRD(09)-a0902 [scalar densities, diagrammatic techniques];
Dadhich at al PLB(12)-a1202 [triviality of the vacuum in critical dimensions];
Brustein & Medved PRD(13)-a1212 [as equivalent to Einstein gravity coupled to form fields];
Dadhich EPJC(16)-a1506;
Lachaume EPJC(19)-a1811 [number of terms in the Lovelock products];
Canfora et al a2103 [and Einstein gravity in 4D].
@ Hamiltonian formalism: Dadhich et al PRD(16)-a1511 [dynamical structure in D > 4];
> s.a. ADM mass.
@ Initial-value problem: Willison CQG(15)-a1409,
IJMPD(15)-a1504 [local well-posedness, and quasilinear reformulation];
Papallo & Reall PRD(17)-a1705 [local well-posedness];
Kovacs & Reall a2003 [strongly hyperbolic].
@ Other dynamics: Dadhich & Pons PLB(11)-a1012 [Lovelock-Palatini Lagrangians];
Reall et al CQG(14)-a1406 [causality and hyperbolicity];
Cano PRD(18)-a1803 [action, boundaries with corners];
Lachaume JMP(18)-a1712 [constraint equations];
Guilleminot et al a2011
[first-order, generalized "ADM" Lagrangian and associated Hamiltonian].
@ Related topics: Cnockaert & Henneaux CQG(05)ht [and BRST cohomology];
Willison PRD(10)-a0904 [and Weyl's tube formula];
Gravanis PRD(10)-a1004 [conserved charges];
Edelstein a1303-proc [holographic aspects];
Brustein & Sherf PRD(18)-a1711 [causality constraints];
Wang et al a2012 [from string theory];
> s.a. Riemann-Lovelock Curvature Tensor;
teleparallel gravity.
@ Generalizations and related theories:
Exirifard a0911 [generalized];
Charmousis a1405-ln [and Horndeski theory];
Tian & Booth CQG(16)-a1502 [Lovelock-Brans-Dicke gravity];
Bueno et al JHEP(16)-a1602 [f(Lovelock) theories];
Crisostomi et al PRD(18)-a1710.
Black Holes > s.a. Birkhoff's
Theorem; black-hole hair.
@ General references: Garraffo & Giribet MPLA(08)-a0805;
Cai et al PRD(10)-a0911 [vanishing mass and entropy];
Kastor et al CQG(11)-a1106 [mass and free energy];
Dadhich et al GRG(13)-a1201 [static];
Kunstatter et al CQG(13)-a1210 [Hamiltonian dynamics of spherical black holes];
Dadhich & Ghosh a1307 [rotating, Kerr-like];
Taves PhD(13)-a1408 [formation];
Ohashi & Nozawa PRD(15)-a1507 [with non-constant-curvature horizon];
Farhangkhah IJMPD(16)-a1510 [charged];
Konoplya & Zhidenko PRD(20)-a2003;
> s.a. quasinormal modes.
@ In related theories: Dehghani et al PRD(08)-a0802 [Lovelock-Born-Infeld];
Dehghani & Mann JHEP(10)-a1004 [Lovelock-Lifshitz];
Camanho & Edelstein CQG(13)-a1103 [(A)dS black holes];
Hendi et al PTEP(15)-a1511 [with non-linear electrodynamics].
@ Instabilities: Dehghani & Pourhasan PRD(09)-a0903;
Takahashi & Soda PTP(10)-a1008;
Takahashi PTP(11)-a1102 [charged black holes];
Gannouji & Dadhich CQG(14)-a1311 [static].
@ Thermodynamics: Cai PLB(04)ht/03;
Aiello et al CQG(05)gq [+ Hoffmann-Infeld electromagnetism];
Correa-Borbonet BJP(05)ht [entropy];
Cai & Ohta PRD(06)ht [pure Lovelock gravity];
Kastor et al CQG(10)-a1005 [Smarr formula for asymptotically AdS black holes];
Dadhich et al GRG(12)-a1110 [thermodynamical universality];
Chen & Zhang JHEP(13) [entropy].
Other Phenomenology
> s.a. viscosity [bound].
@ Gravitational collapse: Crisóstomo et al PRD(04)ht [collapsing thin shells, Hamiltonian];
Nozawa & Maeda CQG(06)gq/05 [final fate];
Ohashi et al PRD(12)-a1205 [charged dust cloud];
Dadhich et al PRD(13)-a1308 [in higher dimensions].
@ Other solutions: Willison PhD(04)gq/05 [hypersurfaces and branes];
Dehghani & Dayyani PRD(09)-a0903 [wormholes];
Dehgani & Farhangkhah PLB(09)-a0904;
Dadhich & Pons JMP(13)-a1210 [Nariai and Bertotti-Robinson solutions];
Dadhich et al IJMPD(17)-a1607 [compact objects];
> s.a. bianchi I spacetimes; spherical solutions.
@ Cosmology: Pavluchenko & Toporensky G&C(14)-a1212 [exact cosmological solutions];
Camanho et al PRD(14)-a1311 [generalized phase transitions, cosmological models];
Camanho et al a1604-MG14 [Kasner-type metrics].
> Online resources:
see Wikipedia page.
main page
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