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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Numerical Investigation of Relativistic Perihelion Shift : A Comparative Study Between the Analytical Approximation and Numerical Calculation for the Perihelion Shift Caused by General Relativity

Nordenstorm, Olof, Appelquist, Pia January 2022 (has links)
This study is an investigation of analytical and numerical predictions of the relativistic perihelion shift of the planets in the Solar System. These shifts are a consequence of the general theory of relativity and the theoretical expression for the perihelion shift can be derived using different approximations. Two of these approximations are presented in this report. Due to these approximations, it is of interest to investigate when the analytical expression provides accurate values of perihelion shifts. This is performed by calculating the perihelion shifts for the planets in the Solar System numerically and comparing the results. To summarize the results, the numerical method slightly outperforms the analyt- ical method for almost all planets in the Solar System but the results are overall similar. Furthermore, a parameter study is conducted to investigate how the numerical and an- alytical perihelion shift predictions are dependent on these parameters. The parameter study shows that the methods diverge for some cases and based on this predictions are made for when numerical methods could be of use when predicting perihelion shifts.
2

Modification to Einstein's field equations imposed by string theory and consequences for the classical tests of general relativity

Frye, Christopher 01 May 2013 (has links)
String theory imposes slight modifications to Einstein's equations of general relativity (GR). In (4), the authors claim that the gravitational field equations in empty space, which in GR are just R [subscript greek letters mu nu ] = 0, should hold one extra term which is first order in the string constant [alpha'] and proportional to the Riemann curvature tensor squared. They do admit, however, that this simple modification is just schematic. In (1) the authors use modified equations which are coupled to the dilation field. We show that equations given in (4) do not admit an isotropic solution; justification of these equations would require sacrificing isotropy. We thus investigate the consequences of the coupled equations from (1) and the black-hole solution they give there. We calculate the additional perihelion precession of Mercury, the added deflection of photons by the sun, and the extra gravitational redshift which should be present if these equations hold. We determine that additional effects due to string theory in each of these cases are quite minuscule.
3

Perihelion I

Percoco, Bryan A. 21 September 2012 (has links)
No description available.
4

Chaos / Chaos

Vogelová, Tereza January 2012 (has links)
The existing world is becoming more disrupted and is falling apart. For its resurrection and restoration, a new way of thinking is necessary. This new type of thinking is needed to be able to open up its mind and to think about the process of thinking itself; it must understand what is happening in other systems, where processes seem to be taking place by themselves without any other visible interference. First Chaos is the title for an intermedia installation which contains 90 black and white photographs, both digital and analogue, all of which were taken between the years 2008 and 2012. Together, the photographs create one coherent piece – a kind of sculpture. They can evoke a "still film" with a non-linear, cyclical storyline, whilst the images can simultaneously function individually, without any connection to other photographs.

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