I work primarily on gravity, modifications of general relativity, and interesting applications of electricity and magnetism, quantum mechanics and relativity. I am also interested in dynamical, nonlinear and stochastic systems. You can find links to my articles below.
S. Deser, J.S. Franklin, D. Seminara, "Graviton-Graviton Scattering, Bel- Robinson and Energy (Pseudo)-Tensors”, Class. Quant. Grav. 16 (9), pp. 2815- 2821, 1999.
S. Deser, J. Franklin, B. Tekin, "Shortcuts to Spherically Symmetric Solutions: A Cautionary Note,” Class. Quant. Grav. 21 (22), pp. 5295-5296, 2004.
S. Deser, J. Franklin, "Schwarzschild and Birkhoff a la Weyl," Am. J. Phys. 73 (3), pp. 261-264, 2005.
S.A. Hughes, S. Drasco, E.E. Flanagan, J. Franklin, "Gravitational Radiation Reaction and Inspiral Waveforms in the Adiabatic Limit," Phys. Rev. Lett. 94, 221101, 2005.
J. Lipfert, J. Franklin, Fang Wu & Sebastian Doniach, "Protein Misfolding and Amyloid Formation for the Peptide GNNQQNY from Yeast Prion Protein Sup35: Simulation by Reaction Path Annealing,” J. Mol. Biol. 349 (3), pp. 648-658, 2005.
S. Deser, J. Franklin, "Birkhoff for Lovelock Redux," Class. Quant. Grav. 22, L103-106, 2005.
J. Franklin, S. Doniach, "Adaptive Time Stepping in Molecular Dynamics," J. Chem. Phys. 123, 124909, 2005. (selected for the Virtual Journal of Biological Physics Research).
J. Franklin, S. Doniach, "Dynamic Bond Constraints in Protein Langevin Dynamics," J. Chem. Phys. 124, 154901, 2006. (selected for the Virtual Journal of Biological Physics Research).
J. Franklin, P. Koehl, S. Doniach & M. Delarue. "MinActionPath: Maximum Likelihood Trajectory for Large-Scale Structural Transitions in a Course-Grained Locally Harmonic Energy Landscape," Nucleic Acids Research, 35, W477-482, 2007.
J. Franklin, P. T. Baker, "Linearized Kerr and Spinning Massive Bodies: An Electrodynamics Analogy," Am. J. Phys. 75(4), pp. 336–342, 2007.
S. Deser, J. Franklin, "Circular Symmetry in Topologically Massive Gravity," Class. Quant. Grav. 27:107002, 2010.
S. Deser, J. Franklin, "De/Re-Constructing the Kerr Metric," Gen. Rel. Grav. 42 (11), pp. 2657-2662, 2010.
J. Franklin, F. Morton-Park, "Charged Radial Invall for Spherical Central Bodies," Am. J. Phys. 78 (12). pp. 1336-1340, 2010.
S. Deser, J. Franklin, "Is BTZ a Separate Superselection Sector of CTMG?," Phys. Lett. B 5, pp. 609-611, 2010.
S. Deser, J. Franklin, "Bel-Robinson Tensor for Topologically Massive Gravity," Class. Quant. Grav. 28:032002, 2011.
J. Franklin, T. Garon, "Approximate Born-Infeld Effects on the Relativistic Hydrogen Spectrum," Phys. Lett. A 11, pp. 1391-1395, 2011.
S. Deser, J. Franklin, “No Bel-Robinson Tensor for Quadratic Curvature Theories,” Class. Quant. Grav. 28:235016, 2011.
S. Deser, J. Franklin, “Canonical Analysis of Lanczos-Lovelock Gravity,” Class. Quant. Grav. 29:072001, 2012.
D. Clark, J. Franklin & N. Mann, “Relativistic Linear Restoring Force,” Eur. J. Phys. 33, pp. 1041-1051, 2012.
S. Deser, J. Franklin, “Symmetrically Reduced Galileon Equations and Solution,” Phys. Rev. D 86:047701, 2012.
J. Franklin, C. LaMont, “The Motion of a Pair of Charged Particles,” Braz. J. Phys. 44, pp. 119-124, 2013.
Joel Franklin, David J. Griffiths, “The Fields of a Charged Particle in Hyperbolic Motion”, Am. J. Phys. 82 (8), pp. 755-763, 2014.
J. Franklin, “Self-Consistent, Self-Coupled Scalar Gravity,” Am. J. Phys. 83 (4), pp. 332-337, 2015.
J. Franklin, Y. Guo, A. McNutt & A. Morgan, “The Schrodinger-Newton System with Self-Field Coupling,” Class. Quant. Grav. 35:065010, 2015.
S. Deser, J. Franklin, “Bel-Robinson as Stress-Tensor Gradients and their Extensions to Massive Matter,” Gen. Rel. and Grav. 47, 68, 2015 (editor’s choice).
J. Franklin, K. Cole Newton, “Classical and Quantum Mechanical Motion in Magnetic Fields,” Am. J. Phys. 84, pp. 263-269, 2016.
J. Franklin, Y. Guo, K. Cole Newton & M. Schlosshauer, “The Dynamics of the Schrodinger-Newton System with Self-Field Coupling,” Class. Quant. Grav. 33:075002, 2016.
E. Banyas, J. Franklin, “The (Weak) Gravitational Field of a Dirac Monopole,” Class. Quant. Grav. 34:195004, 2017.
J. Franklin, A. Ryder, "Electromagnetic Field Visualization in Virtual Reality," Am. J. Phys. 87, pp. 153-157, 2019.
J. Franklin, “Symmetric Criticality and Magnetic Monopoles in General Relativity,” Symmetry, 11 (7), 845, 2019.
J. Franklin, Gopal Goel, "Finite & Half-Infinite Solenoids and the Aharonov-Bohm Effect,” Am. J. Phys. 87, pp. 862-867, 2020.
A. Chambliss, J. Franklin, “A Magnetic Velocity Verlet Method,” Am. J. Phys. 88, pp. 1075-1082, 2020.
Joel Franklin, David J. Griffiths & Nelia Mann, "Motion of a Charged Particle in the Static Fields of an Infinite Straight Wire,” Am. J. Phys. 90, pp. 513-519, 2022.
Joel Franklin, David J. Griffiths & Darrell Schroeter, "A Taxonomy of Magnetostatic Field Lines," Am. J. Phys., 92, pp. 583-592, 2024.