Classical Gravity: Mathematical Formalism

Presentations

• The Dirac--Bergmann algorithm: Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance

  ORAL

  April 11, 2022, 3:45 PM – April 11, 2022, 3:57 PM

  Publication: "Singular Lagrangians, Constrained Hamiltonian Systems and Gauge Invariance: An Example of the Dirac--Bergmann Algorithm", in preparation.

  Presenters

  • J D Brown

    • North Carolina State University

  Authors

  • J D Brown

    • North Carolina State University

  View abstract →

• An Invariant Characterization of the Levi-Civita Spacetimes

  ORAL

  April 11, 2022, 3:57 PM – April 11, 2022, 4:09 PM

  Publication: Symmetry 2021, 13(8), 1469; https://doi.org/10.3390/sym13081469

  Presenters

  • Cooper K Watson

    • Baylor University

  Authors

  • Cooper K Watson

    • Baylor University

  • William Julius

    • Baylor University

  • Matthew Gorban

    • Baylor University

  • David D McNutt

    • University of Stavanger

  • Eric W Davis

    • Baylor University

  • Gerald B Cleaver

    • Baylor University

  View abstract →

• Analysis of Levi-Civita Spacetimes using the Cartan-Karlhede Algorithm

  ORAL

  April 11, 2022, 4:09 PM – April 11, 2022, 4:21 PM

  Publication: https://doi.org/10.3390/sym13081469

  Presenters

  • William Julius

    • Baylor University

  Authors

  • William Julius

    • Baylor University

  • Cooper K Watson

    • Baylor University

  • Matthew Gorban

    • Baylor University

  • David D McNutt

    • University of Stavanger

  • Eric W Davis

    • Baylor University

  • Gerald B Cleaver

    • Baylor University

  View abstract →

• Local and covariant flow relations for OPE coefficients in Lorentzian spacetimes

  ORAL

  April 11, 2022, 4:21 PM – April 11, 2022, 4:33 PM

  Presenters

  • Mark G Klehfoth

    • University of Chicago

  Authors

  • Mark G Klehfoth

    • University of Chicago

  • Robert D Wald

    • University of Chicago

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• Boundary conditions and proof of the scalar, vector, tensor decomposition theorem in cosmological perturbation theory

  ORAL

  April 11, 2022, 4:33 PM – April 11, 2022, 4:45 PM

  Publication: 1. A. Amarasinghe, M. G. Phelps and P. D. Mannheim, Cosmological perturbations in conformal gravity. II., Physical Review D 99, 083527 (2019). (arXiv:1805.06807 [gr-qc])
  2. M. Phelps, A. Amarasinghe and P. D. Mannheim, Three-dimensional and four-dimensional scalar, vector, tensor cosmological fluctuations and the cosmological decomposition theorem, General Relativity and Gravitation 52, 114 (2020). (arXiv:1912.10448 [gr-qc])
  3. A. Amarasinghe and P. D. Mannheim, Cosmological fluctuations on the light cone, Physical Review D 103, 103517 (2021). (arXiv:2011.02440 [gr-qc])
  4. A. Amarasinghe, T. Liu, D. A. Norman and P. D. Mannheim, Exact solution to perturbative conformal cosmology from recombination until the current era, Physical Review D 103, 104022 (2021). (arXiv:2101.02608 [gr-qc])

  Presenters

  • Asanka Amarasinghe

    • University of Connecticut

  Authors

  • Asanka Amarasinghe

    • University of Connecticut

  • Matthew M Phelps

    • University of Connecticut

  • Tianye Liu

    • University of Connecticut

  • Daniel A Norman

    • University of Connecticut

  • Philip D Mannheim

    • University of Connecticut

  View abstract →

• The geometry of field sheet foliations of spacetime in force-free electrodynamics

  ORAL

  April 11, 2022, 4:45 PM – April 11, 2022, 4:57 PM

  Publication: Menon, G., "The Non-Null and Force-free Electromagnetic Field ", Classical and Quantum Gravity, (2021)
  Menon, G., "The Null and Force-free Electromagnetic Field ", Classical and Quantum Gravity, (2020)
  Menon, G., "Force-free electrodynamics and Foliations in an arbitrary spacetime ", Classical and Quantum Gravity, (2020)

  Presenters

  • Govind Menon

    • Troy University

  Authors

  • Govind Menon

    • Troy University

  View abstract →

• Quantum Corrections to Classical Time Dilation

  ORAL

  April 11, 2022, 4:57 PM – April 11, 2022, 5:09 PM

  Publication: Quantum clocks observe classical and quantum time dilation
  Alexander R. H. Smith and Mehdi Ahmadi
  Nature Communications 11, 5360 (2020)
  
  Quantum time dilation in atomic spectra
  https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.023053
  Piotr T. Grochowski, Alexander R. H. Smith, Andrzej Dragan, Kacper Debski
  Physical Review Research 3, 023053 (2021)
  
  Two forthcoming articles.

  Presenters

  • Alexander R Smith

    • Dartmouth College

  Authors

  • Alexander R Smith

    • Dartmouth College

  • Mehdi Ahmadi

    • Santa Clara

  • Piotr grochowski

    • University of Warsaw

  • Kacper Debski

    • University of Warsaw

  • Andrzej Dragan

    • University of Warsaw

  View abstract →