Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-03-07
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
M. Sc. Thesis, 88 pages, 6 figures
Scientific paper
In this work, two particular orthogonal and conformal decompositions of the 3+1 dimensional Einstein equation and Arnowitt-Deser-Misner (ADM) formalism for general relativity are obtained. In order to do these, the 3+1 foliation of the four-dimensional spacetime, the fundamental conformal transformations and the Hamiltonian form of general relativity that leads to the ADM formalism, defined for the conserved quantities of the hypersurfaces of the globally-hyperbolic asymptotically flat spacetimes, are reconstructed. All the calculations up to chapter 7 are just a review. We propose a method in chapter 7 which gives an interesting relation between the Cotton (Conformal) soliton and the static vacuum solutions. The formulation that we introduce can be extended to find the gradient Cotton soliton and the solutions of Topologically Massive Gravity (TMG) as well as the gradient Ricci soliton.
No associations
LandOfFree
3+1 Orthogonal and Conformal Decomposition of the Einstein Equation and the ADM Formalism for General Relativity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with 3+1 Orthogonal and Conformal Decomposition of the Einstein Equation and the ADM Formalism for General Relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 3+1 Orthogonal and Conformal Decomposition of the Einstein Equation and the ADM Formalism for General Relativity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-606895