Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Publication
- Publication Type
Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
The Schwarzschild Solution And Timelike Geodesics, Matthew B. Ross
The Schwarzschild Solution And Timelike Geodesics, Matthew B. Ross
Physics Capstone Projects
General Relativity is a major area of study in physics. It allows us to calculate the motion and interaction of particles in a non-Euclidean space-time. This presentation will examine the process of finding the Schwarzschild metric tensor field by finding a solution of the Einstein Equation for a non-rotating spherical mass. A general form of the Schwarzschild metric tenor field will be used to calculate the Riemann curvature tensor and subsequently the Ricci tensor and Ricci scalar which will be used to find a vacuum solution to the Einstein Equation. Once the solutions of the Einstein Equation are found, they …
Do All Bps Black Hole Microstates Carry Zero Angular Momentum?, Abishek Chowdhury, Richard S. Garavuso, Swapnamay Mondal, Ashoke Sen
Do All Bps Black Hole Microstates Carry Zero Angular Momentum?, Abishek Chowdhury, Richard S. Garavuso, Swapnamay Mondal, Ashoke Sen
Publications and Research
From the analysis of the near horizon geometry and supersymmetry algebra it has been argued that all the microstates of single centered BPS black holes with four unbroken supersymmetries carry zero angular momentum in the region of the moduli space where the black hole description is valid. A stronger form of the conjecture would be that the result holds for any sufficiently generic point in the moduli space. In this paper we set out to test this conjecture for a class of black hole microstates in type II string theory on T6 , represented by four stacks of D-branes wrapped …
Exact Solutions In Gravity: A Journey Through Spacetime With The Kerr-Schild Ansatz, Benjamin Ett
Exact Solutions In Gravity: A Journey Through Spacetime With The Kerr-Schild Ansatz, Benjamin Ett
Doctoral Dissertations
The Kerr-Schild metric ansatz can be expressed in the form $g_{ab} = \gbar_{ab}+\lambda k_ak_b$, where $\gbar_{ab}$ is a background metric satisfying Einstein's equations, $k_a$ is a null-vector, and $\lambda$ is a free parameter. It was discovered in 1963 while searching for the elusive rotating black hole solutions to Einstein's equations, fifty years after the static solution was found and Einstein first formulated his theory of general relativity. While the ansatz has proved an excellent tool in the search for new exact solutions since then, its scope is limited, particularly with respect to higher dimensional theories. In this thesis, we present …
Chaotic Scattering In General Relativity, Taylor Hugh Morgan, David Neilsen
Chaotic Scattering In General Relativity, Taylor Hugh Morgan, David Neilsen
Journal of Undergraduate Research
I. Introduction Our research is on the gravitational three-body problem where there are three star-like objects with the only acting force on the objects being gravity. Since the discovery of gravity, many physicists and mathematicians have looked for an analytic solution to the three-body problem including Poincare, Euler, Lagrange, and Jacobi. We now know that there is in fact no analytic solution to this problem. Due to the advent of high performance computing we have discovered much about the chaotic nature1 of this problem and its sensitivity to initial perturbations. For our research we have extended the scope of the …
An Extremum Principle For Charged Black Holes, Shaker Von Price Funkhouser
An Extremum Principle For Charged Black Holes, Shaker Von Price Funkhouser
Physics
There is a well known static condition that characterizes how two or more charged black holes stay in place: this condition is |qi |=mi , where a black hole (labeled by i) has electric charge qi and mass mi . For nearly half a century, this static condition has eluded a simple physical interpretation, without appealing to forces. I provide the first proof that the static condition, |qi |=mi , corresponds to an extremum of the black holes’ total energy. My approach uses geometry and calculus in the context of general relativity. For the non-specialist, this work draws upon one’s …
Λcdm Cosmology + Chaotic Inflation, Peter A. Farago
Λcdm Cosmology + Chaotic Inflation, Peter A. Farago
Theses and Dissertations
ΛCDM cosmology is described in terms of general relativity and the Robertson-Walker metric. The evolution of the observable universe, currently dominated by dark energy (Λ) and cold dark matter (CDM), is presented in terms of its thermal history. CDM is extended to include an inflation epoch that accelerates the early expansion rate to near exponential levels. It is shown that inflation solves several problems in CDM and produces perturbations in the metric that lead to the observed anisotropies in the Cosmic Microwave Background and the formation of large scale cosmological structures. Various theories of inflation are explored. Predictions of inflation …
Quantum Tests Of The Einstein Equivalence Principle With The Ste–Quest Space Mission, Brett David Altschul, Quentin G. Bailey, Luc Blanchet, Kai Bongs, Philippe Bouyer, Luigi Cacciapuoti, Salvatore Capozziello, Naceur Gaaloul, Domenico Giulini, Jonas Hartwig, Luciano Iess, Philippe Jetzer, Arnaud Landragin, Ernst Rasel, Serge Reynaud, Stephan Schiller, Christian Schubert, Fiodor Sorrentino, Uwe Sterr, Jay D. Tasson, Guglielmo M. Tino, Philip Tuckey, Peter Wolf
Quantum Tests Of The Einstein Equivalence Principle With The Ste–Quest Space Mission, Brett David Altschul, Quentin G. Bailey, Luc Blanchet, Kai Bongs, Philippe Bouyer, Luigi Cacciapuoti, Salvatore Capozziello, Naceur Gaaloul, Domenico Giulini, Jonas Hartwig, Luciano Iess, Philippe Jetzer, Arnaud Landragin, Ernst Rasel, Serge Reynaud, Stephan Schiller, Christian Schubert, Fiodor Sorrentino, Uwe Sterr, Jay D. Tasson, Guglielmo M. Tino, Philip Tuckey, Peter Wolf
Faculty Publications
We present in detail the scientific objectives in fundamental physics of the Space–Time Explorer and QUantum Equivalence Space Test (STE–QUEST) space mission. STE–QUEST was pre-selected by the European Space Agency together with four other missions for the cosmic vision M3 launch opportunity planned around 2024. It carries out tests of different aspects of the Einstein Equivalence Principle using atomic clocks, matter wave interferometry and long distance time/frequency links, providing fascinating science at the interface between quantum mechanics and gravitation that cannot be achieved, at that level of precision, in ground experiments. We especially emphasize the specific strong interest of performing …