Publications in general relativity

The Dirac equation in general relativity: A guide for calculations, P. Collas and D. Klein, Text: Springer Biefs in Physics, Quantum Physics (2019) DOI 10.1007/978-3-030-14825-6, https://www.springer.com/gp/book/9783030148249

Dirac particles in a gravitational shock wave, P. Collas and D. Klein, https://arxiv.org/abs/1801.02756 (2018). pdf

The Dirac equation in general relativity: A guide for calculations, P. Collas and D. Klein, Notes (2018). pdf

Embeddings and time evolution of the Schwarzschild wormhole, P. Collas and D. Klein, American Journal of Physics 80, 203 (2012). pdf

Erratum: Recessional velocities and Hubble's law in Schwarzschild-de Sitter space, D. Klein and P. Collas, Physical Review D 83, 129901(E) (2011). pdf

Recessional velocities and Hubble's law in Schwarzschild-de Sitter space, D. Klein and P. Collas, Physical Review D 81, 063518 (2010) (http://arxiv.org/abs/1001.1875). pdf

Exact Fermi coordinates for a class of spacetimes, D. Klein and P. Collas, Journal of Mathematical Physics, 51, 022501 (2010). (http://link.aip.org/link/?JMP/51/022501). pdf

Timelike Killing fields and relativistic statistical mechanics, D. Klein and P. Collas, Classical and Quantum Gravity26, (2009) 045018. (http://stacks.iop.org/0264-9381/26/045018).  pdf

General Transformation Formulas for Fermi-Walker Coordinates, D. Klein and P. Collas, Classical and Quantum Gravity25, (2008) 145019.  (http://stacks.iop.org/0264-9381/25/145019).  pdf

A Statistical Mechanical Problem in Schwarzschild Spacetime, P. Collas and D. Klein, General Relativity and Gravitation, 39, 737 (2007).  pdf

Causality Violating Geodesics in Bonnor's Rotating Dust Metric, P. Collas and D. Klein, General Relativity and Gravitation, 36, 2549 (2004).  pdf

A Simple Criterion for Nonrotating Reference Frames, P. Collas and D. Klein, General Relativity and Gravitation, 36, 1493 (2004).  pdf

Frame Dragging Anomalies for Rotating Bodies, P. Collas and D. Klein, General Relativity and Gravitation, 36, 1197 (2004).  pdf

Simple tests for proposed interior Kerr metrics, P. Collas, Lettere al Nuovo Cimento, 21, 68 (1978).  pdf (Erratum in Lettere al Nuovo Cimento, 22, 472 (1978).  pdf)

Erratum: General Relativity in two- and three-dimensional space-times, P. Collas, American Journal of Physics, 46, 309 (1978).  pdf

General Relativity in two- and three-dimensional space-times, P. Collas, American Journal of Physics, 45, 833 (1977).  pdf

Trapped null geodesics in a rotating interior metric, P. Collas and J. K. Lawrence, General Relativity and Gravitation, 7, 715 (1976).  pdf

 

Publications in other areas

Coulomb scattering in the Born approximation and the use of generalized functions: Supplementary material, P. Collas, American Journal of Physics, 89, 799 (2021).  pdf

Coulomb scattering in the Born approximation and the use of generalized functions, P. Collas, American Journal of Physics, 89, 799 (2021).  pdf

Coulomb scattering in the Born approximation and the use of generalized functions, P. Collas, arXiv:2102.13105 (2021). pdf

Convergence of Hamiltonian systems to billiards, P. Collas, D.Klein and H-P. Schwebler, CHAOS, 8, 466 (1998).  pdf

An ergodic adding machine on the Cantor set, P. Collas and D. Klein, L'Enseignement  Mathématique, 40, 249 (1994).  pdf

Quantum mechanics vs spectral differential geometry, P. Collas, Physics Letters, A149, 179, (1990).  pdf

Acoustic levitation in the presence of gravity.  P. Collas, M. Barmatz and C. Shipley, Journal of the Acoustical Society of America, 86, 777 (1989).  pdf

Erattum: Acoustic levitation in the presence of gravity.  P. Collas, M. Barmatz and C. Shipley, Journal of the Acoustical Society of America, 140, 3518 (2016).  pdf

Metamorphosis from the viewpoint of differential geometry, P. Collas, Physics Letters, A135, 151 (1989).  pdf

Acoustic radiation force on a particle in a temperature gradient, P. Collas and M. Barmatz, Journal of the Acoustical Society of America, 81, 1327 (1987).  pdf

Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields, M. Barmatz and P. Collas, Journal of the Acoustical Society of America, 77, 928 (1985).  pdf

Errattum: Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields, M. Barmatz and P. Collas, Journal of the Acoustical Society of America, 140, 3519 (2016).  pdf

Acoustic radiation force on a sphere in plane, cylindrical and spherical standing wave fields, M. Barmatz and P. Collas, Proceedings of the 11me Congrés International D'Acoustique, 245, Paris (1983).

Equivalent potentials in classical mechanics, P. Collas, Journal of Mathematical Physics, 22, 2512 (1981).  pdf

Scattering in parabolic coordinates and a new representation for the scattering amplitude, T. Azzarelli and P. Collas, Physical Review D 12, 3237 (1975).  pdf

Sommerfeld-Watson representation without poles,  T. Azzarelli and P. Collas, Lettere al Nuovo Cimento, 12, 601 (1975).  pdf

Algebraic solution of the Kepler problem using the Runge-Lenz vector, American Journal of Physics, 38, 253 (1970).  pdf

Response of linear structures to classes of pressure fields. I. Deterministic nonconvecting fields, M. G. Cottis and P. Collas, Journal of the Acoustical Society of America, 46, 678 (1967).  pdf

Observable effects of the leading Landau singularity of the box graph,  P. Collas and R. E. Norton, Physical Review, 160, 1346 (1967).  pdf