Views
3 years ago

Extended solution space for Chern-Simons gravity

Extended solution space for Chern-Simons gravity

EC + CS•

EC + CS• Einstein-Cartan rationaleδe c : ǫ abcd R ab (ω) ∧ e c = 0,δω a b : ǫ abqp e q ∧ T p + 2βdϑ ∧ R ab (ω) = 0.• The Bianchi identities together with the eoms → consistency conditions that generalize thePontryagin constraint.• ϑ acts as a source of torsion and torsion is highly constrained by experiments Kostelecký,Russell, Tasson PRL (2008). It is reasonable to expect the CS term to act as a smallperturbation to GR.• We propose the following perturbative Ansätze:e µ c = e (0)µ c + β e (1)µ c + ...ω µa b = ω (0) aµ b + β ω(1) aµ b + ... ,VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 11

EC + CS: Solutions• Solving the field equations to first order in β we arrive at:ϑ();λ;αe (0) ǫ λδγ µR (0) αδγν+ ǫ λδγ νR (0) αδγµ(1) ;α (1) ;α (1) ;α= g να;µ + g µα;ν − g µν ;α − g (1) ;µ;ν .Curvature Riemann and metric are built with the tetrad to the corresponding order in β.• Semi-colon: zeroth-order covariant derivative, i.e. with the torsion-free connection.• For v µ = (1/m,0,0,0) and g (0)µν := Schwarzschild, LHS vanishes. Then g (1)µν = 0satisfies the RHS and thus Schwarzschild is a O(β) solution. ⇒ Classical tests OK!• Consistency conditions are all satisfied to O(β).• The latter provides a means to find new solutions as perturbations to a previously existingone, in a systematic way to all orders in β.VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 12

VisiFloor - Gravity feed solution - Meto
VisiSlide - Gravity feed solution - Meto
The Sense of Smell on Earth and in Space - Defying Gravity
Exact Solutions and Scalar Fields in Gravity - Instituto Avanzado de ...
Space Time and Gravity - FSU Physics Department
The Engineering of a Physics Experiment in Space ... - Gravity Probe B
EXTENDED LEARNING MODULE E - McGraw-Hill Learning Solutions
EXTENDED LEARNING MODULE C - McGraw-Hill Learning Solutions
EXTENDED LEARNING MODULE D - McGraw-Hill Learning Solutions
EXTENDED LEARNING MODULE J - McGraw-Hill Learning Solutions
Accessing Office Space Solutions - Corrective Services Industries
SPACE SOLUTIONS for the World's Problems - United Nations ...
EXTENDED LEARNING MODULE B - McGraw-Hill Learning Solutions
Headline Bold Ipsum lorem Headline Light Space & Defense Solutions
Bubbling Solutions for the Chern-Simons Model on a Torus
Black holes in Born-Infeld extended new massive gravity
extended gravity model - eBooks | Universitas Narotama
Extended gravity theories and the Einstein--Hilbert action
Yang-Mills gravity in biconformal space - ResearchGate
refining regional gravity field solutions with goce gravity gradients for ...
400ls & 500ls series gravity & vacuum/gravity - BioMedical Solutions ...
GEA Food Solutions Extended Board - GEA Group
refining regional gravity field solutions with goce gravity gradients for ...
Extended Gravity Panel Data Model of Poland's Foreign Trade
Warped de Sitter solutions in the higher-dimensional gravity
Worked solutions Chapter 3 Gravity and satellites - PEGSnet
Archetypal layout: extending the concept of the ... - SOLUTIONS
An improved solution of the gravity field of Mars (GMM-2B) from ...
Similarity solutions for a gravity current in the high ... - LHE - EPFL
Comparison and Combination of SLR Solutions Including Gravity ...