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.

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:


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


See my CV for a complete list of publications.