Views
3 years ago

Extended solution space for Chern-Simons gravity

Extended solution space for Chern-Simons gravity

EC + CS: Static axially

EC + CS: Static axially symmetric solution• (1)Our quest for Kerr motivates the following ansatz g µν = f(r, θ)δ[µ t δφ , . Only the t, φν]component is ≠ 0, yielding0 = −4mfr 3 +2mf′′r− f ′′ − f ∗∗r 2 +f ∗r 2 tan θ ,f ′ stands for ∂ r f and f ∗ for ∂ θ f and is solved by f(r,θ) = − 2m2rsin 2 θ.• The complete solution for the gravitational field to first-order is: g µν = g (0)µν + β g (1)µν .• Choosing β = a M :g µν ≈ g Schwµν − 2Marsin 2 θ δ[µ t δφ slow Kerrν]= gµν .• The expansion parameter β is required to be small and correspondingly a/M ≪ 1.Identifying a with the black-hole’s angular momentum, then the resulting first-order solutionfound indeed corresponds to the slowly rotating Kerr metric.VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 13

EC + CS: Comments on the Kerr solution• The consistency conditions are properly satisfied, at least to O(β).• Furthermore, the solution is also valid for an axial embedding parameter produces asymmetry breaking direction parallel to the rotation axis of the Kerr metric at infinity.ϑ = M r cos θ ,L = 0r• Spherical symmetry:Schwarzschild,f ( r ) = f ( r )VIII Silafae - UTFSM, Valparaíso, 2010 Mauro Cambiaso New solutions in Chern-Simons gravity – p. 14

VisiSlide - Gravity feed solution - Meto
VisiFloor - Gravity feed solution - Meto
The Sense of Smell on Earth and in Space - Defying Gravity
EXTENDED LEARNING MODULE B - McGraw-Hill Learning Solutions
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 ...
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
GEA Food Solutions Extended Board - GEA Group
refining regional gravity field solutions with goce gravity gradients for ...
refining regional gravity field solutions with goce gravity gradients for ...
400ls & 500ls series gravity & vacuum/gravity - BioMedical Solutions ...
Extended Gravity Panel Data Model of Poland's Foreign Trade
Worked solutions Chapter 3 Gravity and satellites - PEGSnet
Warped de Sitter solutions in the higher-dimensional gravity
Archetypal layout: extending the concept of the ... - SOLUTIONS
Similarity solutions for a gravity current in the high ... - LHE - EPFL
An improved solution of the gravity field of Mars (GMM-2B) from ...
Comparison and Combination of SLR Solutions Including Gravity ...