I work on extensions of general relativity and their observational implications. Recent papers include:

J. Franklin & P. T. Baker, "Linearized Kerr and Spinning Massive Bodies: An Electrodynamics Analogy", Am. J. Phys. 75(4), 2007. available here.

S. Deser & J. Franklin, "Circular Symmetry in Topologically Massive Gravity", Class. Quant. Grav. 27:1007002, 2010. arxiv:0912.0708.

S. Deser & J. Franklin, "De/Re-Constructing the Kerr Metric", Gen. Rel. and Grav. 42(11) 2657-2662, 2010. arxiv:1002.1066.

J. Franklin & F. Morton-Park, "Charged Radial Infall for Spherical Central Bodies", Am. J. Phys. 78 (12) 1336-1340, 2010. arxiv:1101.1471.

S. Deser & J. Franklin, "Is BTZ a Separate Superselection Sector of CTMG?", Phys. Lett. B. 5 609-611, 2010. arxiv:1007.2637.

S. Deser & J. Franklin, "Bel-Robinson Tensor for Topologically Massive Gravity", Class. Quant. Grav. 28:032002, 2011. available here.

J. Franklin & T. Garon, "Approximate Born-Infeld Effects on the Relativistic Hydrogen Spectrum", Phys. Lett. A. 11 1391-1395, 2011. arxiv:1102.2277.

S. Deser & J. Franklin, “No Bel-Robinson Tensor for Quadratic Curvature Theories”, Class. Quant. Grav. 28:235016, 2011. arxiv:1108.2277.
auxiliary material (Mathematica notebook)

S. Deser & J. Franklin, “Canonical Analysis of Lanczos-Lovelock Gravity”, Class. Quant. Grav. 29:072001, 2012. arxiv:1100.6085 .

D. Clark, J. Franklin & N. Mann, “Relativistic Linear Restoring Force”, Eur. J. Phys. 33, 1041-1051, 2012. arxiv:1205.5299 .

S. Deser & J. Franklin, “Symmetrically Reduced Galileon Equations and Solution”, Phys. Rev. D, 86:047701, 2012. arxiv:1206.3217 .

J. Franklin & C. LaMont, “The Motion of a Pair of Charged Particles”, Braz. J. Phys., 43 (4), 2013. arxiv:1310.4875.

J. Franklin & D. Griffiths, “The Fields of a Charged Particle in Hyperbolic Motion”, Am. J. Phys. 82 (8), 2014. arxiv:1405.7729.

J. Franklin, “Self-Consistent, Self-Coupled Scalar Gravity”, Am. J. Phys. 83 (4), 2015. arxiv:1408.3594.

J. Franklin, Y. Guo, A. McNutt & A. Morgan, “The Schrodinger-Newton System with Self-Field Coupling”, Class. Quant. Grav. 35:065010, 2015. arxiv:1501.07537.

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). arxiv:1503.03814.

J. Franklin, K. Cole Newton, “Classical and Quantum Mechanical Motion in Magnetic Fields,” Am. J. Phys. 84, 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 (7), 2016. arxiv:1603:03380.

E. Banyas, J. Franklin, “The (Weak) Gravitational Field of a Dirac Monopole,” Class. Quant. Grav. 34 195004, 2017. arxiv:1708.05360.

J. Franklin, A. Ryder, “Electromagnetic Field Visualization in Virtual Reality,” Am. J. Phys. 87, 2019.

J. Franklin, “Symmetric Criticality and Magnetic Monopoles in General Relativity,” Symmetry, 11 (7), 845, 2019. available here.

J. Franklin, Gopal Goel, "Finite & Half-Infinite Solenoids and the Aharonov-Bohm Effect,” Am. J. Phys. 87, 2020.

A. Chambliss, J. Franklin, “A Magnetic Velocity Verlet Method,” Am. J. Phys. 88, 2020. available here.

J. Franklin, D. Griffiths, N. Mann, "“Motion of a Charged Particle in the Static Fields of an Infinite Straight Wire,” Am. J. Phys. 90, 2022.






A three dimensional Kerr geodesic.

In addition, I am interested in many-body dynamics - in particular, methods for solving stochastic Hamiltonian systems (both numerical and analytical). Some of my recent work is:

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.




Most likely trajectory for next-nearest neighbor connected transition from a flat sheet to a torus.



And then there is just-for-fun. Below is a familiar jingle:

jingle


This is the same jingle run through a chaotic fourier filter (turn down the volume):

jinglec

See my CV for a complete list of publications.