FB 6 Mathematik/Informatik/Physik

Institut für Mathematik


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Ergänzung und Vertiefung zur Physik: Allgemeine Relativitätstheorie [PHY-EV-V-D]

4.482

Dozenten

Beschreibung

General relativity is the theory of gravitation published by Albert Einstein in 1916. It is the current description of gravitation in modern physics and generalizes Special Relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the energy and momentum of whatever matter and radiation are present.

This course aims to introduce in the basic concepts and methods of General Relativity. The physics of black holes is frequently used to illustrate the physical consequences of the theory.

Syllabus:
The Equivalence principle
Tensor algebra and analysis
Riemannian geometry
Particle motion and fields in flat spacetime
Gravitation as spacetime curvature
Motion in curved spacetime
Einsteins field equations
Experimental tests of General Relativity
Black Holes
Gravitational waves

Some familiarity with Special Relativity will helpful but is not strictly necessary to follow the course.

Weitere Angaben

Ort: 32/409
Zeiten: Do. 09:45 - 11:15 (wöchentlich)
Erster Termin: Donnerstag, 07.11.2024 09:45 - 11:15, Ort: 32/409
Veranstaltungsart: Vorlesung (Offizielle Lehrveranstaltungen)

Studienbereiche

  • Physik > Masterstudiengang Physik/Physics > Wahlpflichtbereich
  • Physics

Past and Forthcoming Events

Publications

  • Asymptotics of a time-bounded cylinder model, with N. Aschenbruck and S. Bussmann, Probability in the Engineering and Informational Sciences, https://doi.org/10.1017/S0269964822000420
  • The method of cumulants for the normal approximation, with S. Jansen and K. Schubert, Probability Surveys 2022, Vol. 19, 185-270, https://doi.org/10.1214/22-PS7
  • Sedentary Random Waypoint, with C. Betken, arXiv:2009.02941
  • The Impact of Bit Errors on Intra-Session Network Coding with Heterogeneous Packet Lengths, with B. Schütz, N. Aschenbruck, S. Bussmann and M. Juhnke-Kubitzke, Proc. of the 45th IEEE LCN Symposium on Emerging Topics in Networking LCN, virtually hosted in Sydney, Australia, Nov. 16–19, 2020.
  • Stationarity for the Small World in Motion Mobility Model, with Nils Aschenbruck, Christian Heiden und Matthias Schwamborn, MSWIM '19: Proceedings of the 22nd International ACM Conference on Modeling, Analysis and Simulation of Wireless and Mobile Systems, Nov 25-29, 2019, https://doi.org/10.1145/3345768.3355935
  • Crossing Numbers and Stress of Random Graphs, with Markus Chimani and Matthias Reitzner, In Proceedings 26th International Symposium, GD 2018, Barcelona, Spain, 255--268, 2018 available here and for an extended journal version here: https://arxiv.org/abs/1808.07558
  • Fluctuations in a general preferential attachment model via Stein's method, with Carina Betken and Marcel Ortgiese, Random Structures & algorithms, vol.55, no.4, 2019 available here
  • Connection times in large ad-hoc mobile networks, Bernoulli, vol.22, no.4, 2143--2176, 2016 available here
    with Gabriel Faraud, Wolfgang König
  • The random disc thrower problem, Proceedings of the 90th European Study Group Mathematics with Industry, 59-78, 2013  available here with T. van der Aalst, D. Denteneer, M. Hong Duong, R. J. Kang, M. Keane, J. Kool, I. Kryven, T. Meyfroyt, T. Müller, G. Regts, J. Tomczyk
  • Edge fluctuations of eigenvalues of Wigner matrices, High Dimensional Probability VI: the Banff volume, Progress in Probability, vol.66, 261-275, Springer, Basel, 2013 available here
    with Peter Eichelsbacher
  • Moderate deviations for the determinant of Wigner matrices, Dedicated to Friedrich Götze on the occasion of his sixtieth birthday, Limit Theorems in Probability, Statistics and Number Theory, Springer Proceedings in Mathematics & Statistics, vol.42, 253-275, 2013, available here
    with Peter Eichelsbacher
  • Moderate deviations for the eigenvalue counting function of Wigner matrices, ALEA, Lat. Am. J. Probab. Math. Stat. 10 (1), 27-44, 2013, available here
    with Peter Eichelsbacher
  • Moderate deviations via cumulants, Journal of Theor. Probability, 2012, available here
    with Peter Eichelsbacher
  • Moments of recurrence times for Markov chains, Electronic Comm. Probab., 16(28), 296-303, 2011, available here
    with Frank Aurzada, Marcel Ortgiese, Michael Scheutzow
  • Moderate deviations in a random graph and for the spectrum of Bernoulli random matrices, Electronic Journal of Probability, Vol. 14, Paper no. 92, 2636-2656, 2009, available here
    with Peter Eichelsbacher
  • Perpendicular transport of charged particles in slab turbulence: recovery of diffusion for realistic wave-spectra?, Journal of Physics G: Nuclear and Particle Physics, 35, 025202, 2008
    with Andreas Shalchi
  • Velocity correlation functions of charged test particles, Journal of Physics G: Nuclear and Particle Physics, 34, 859, 2007
    with Andreas Shalchi