Calculation of the Raman frequencies using volume data in various phases of solid nitrogen and benzene

Download

index.pdf

Date

2011

Author

Çetinbaş İşeri, Esin

Metadata

Show full item record

Item Usage Stats

229
views

83
downloads

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.

Subject Keywords

Raman spectroscopy., Physics.

URI

http://etd.lib.metu.edu.tr/upload/12613807/index.pdf
https://hdl.handle.net/11511/20828

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

3+1 orthogonal and conformal decomposition of the einstein equation and the adm formalism for general relativity Dengiz, Suat; Tekin, Bayram; Department of Physics (2011) 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 recons...
HARMONIC MAPS AND MAGNETOSTATIC, AXIALLY-SYMMETRICAL SOLUTIONS OF THE KALUZA-KLEIN THEORY DERELI, T; ERIS, A; ERIS, A; Karasu, Atalay (1986-05-01) Magnetostatic, axially symmetric 5-dimensional vacuum Einstein equations are formulated in terms of harmonic maps. A correspondence between stationary, axially symmetric 4-dimensional vacuum Einstein solutions and the magnetostatic, axially symmetric Jordan-Thiry solutions is established. The «Kaluza-Klein magnetic monopole» solution is recovered in a special case.
New approach to conserved charges of generic gravity in AdS spacetimes Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-02-12) Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann...
Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential IKHDAİR, SAMEER; Sever, Ramazan (Wiley, 2008-11-01) The Schrodinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The Nikiforov-Uvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to two- and four-dimensional systems for arbitrary quantum numbers n and 1, with three different values of the potential parameter alpha. It is shown that because of the interdimensional degeneracy o...
Derivation of the relativistic burgers equation on a de sitter background Okutmuştur, Baver (null; 2014-12-17) Recently several versions of relativistic Burgers equations have been derived on different spacetime geometries by the help of Lorentz invariance property and the Euler system of relativistic compressible flows on the related backgrounds. The concerning equations on Minkowski (flat) and Schwarzshild spacetimes are obtained in the article [6] where the finite volume approximations and numerical calculations of the given models are presented in detail. On the other hand a similar work on the Friedmann–Lemaˆıt...

Citation Formats

E. Çetinbaş İşeri, “Calculation of the Raman frequencies using volume data in various phases of solid nitrogen and benzene,” M.S. - Master of Science, Middle East Technical University, 2011.