Hide menu

Publications

Curves and envelopes that bound the spectrum of a matrix
arXiv:1610.02196, 2016

Exact probabilities for typical ranks of 2 x 2 x 2 and 3 x 3 x 2 tensors
Linear Algebra and its Applications, 438, 663-667, 2013

Rank probabilities for real random N × N × 2 tensors
Electronic Communications in Probability, 16, 630-637, 2011 (with P.J.Forrester)

The higher-order singular value decomposition: theory and an application
IEEE Signal Processing Magazine, 27, 151-154, 2010 (with E.G.Larsson)
Awarded the 2014 IEEE Signal Processing Magazine Best Column Award

Overview of recent advances in numerical tensor algebra
Proc. of Asilomar Conference on Signals, Systems and Computers, 2010 (with E.G.Larsson)

Analytical methods to compute the CP decomposition of 2 × 2 × 2 tensors
preprint, 2010 (with A.Rovi) 

The Chevreton tensor and Einstein-Maxwell spacetimes conformal to Einstein spaces
Classical and Quantum Gravity, 24, 3437-3456, 2007 (with I.Eriksson)

Algebraic and differential Rainich conditions for symmetric trace-free tensors of higher rank
Proceedings of the Royal Society of London A, 461, 2181-2195, 2005 (with P.Lankinen)

Unique characterization of the Bel-Robinson tensor
Classical and Quantum Gravity, 21, 3499-3503, 2004 (longer version at gr-qc/0403024) (with P.Lankinen)

New electromagnetic conservation laws
Classical and Quantum Gravity, 20, 2663-2668, 2003 (with I.Eriksson and J.M.M.Senovilla)

Causal tensors in Lorentzian geometry
in “Proceedings of Congreso Geometría de Lorentz, Benalmádena 2001”, 73-83, Publicaciones de la Real Sociedad Matemática Española, 2003

Structure of conformal Lorentz transformations
in "Current Trends in Relativistic Astrophysics" (ed. L.Fernández-Jambrina and L.M. González-Romero), 245-251, Lecture Notes in Physics, Springer, 2003 (with J.M.M.Senovilla)

Algebraic Rainich theory and antisymmetrization in higher dimensions
Classical and Quantum Gravity, 19, 3341-3355, 2002 (with A.Höglund)

Causal tensors and simple forms
Extended abstract for Journees Relativistes (Dublin 2001), International Journal of Modern Physics A 17, 2748, 2002

The dominant energy condition and generalised Rainich conditions
in “Reference Frames and Gravitomagnetism” (ed. J F Pascual-Sánchez, L Floría, A San Miguel and F Vicente), 165-170, World Scientific, 2001

Null cone preserving maps, causal tensors and algebraic Rainich theory
Classical and Quantum Gravity, 18, 5299-5325, 2001 (with J.M.M.Senovilla)

Superenergy, spinors and causality
in “Recent Developments in Gravitation” (ed. J.Ibáñez), 167-171, Editorial Service of the University of the Basque Country, 2000

On the causal propagation of fields
Classical and Quantum Gravity, 16, L55-61, 1999 (with J.M.M.Senovilla)

Positivity of general superenergy tensors
Communications in Mathematical Physics, 207, 467-479, 1999

Spinors and the Bel-Robinson tensor
in “Relativity and Gravitation in General” (ed. J.Martin, E.Ruiz, F.Atrio and A.Molina), 207-210, World Scientific 1999

The Lanczos potential for the Weyl tensor
in “On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories” (ed.T.Piran), 307-309, World Scientific 1999 (with F.Andersson, B.Edgar and A.Höglund)

On vacuum momenta of small spheres
Classical and Quantum Gravity, 15, 1535-1538, 1998

Positivity properties of the Bel-Robinson tensor
Journal of Mathematical Physics, 39, 2141-2147, 1998

Spinor factorizations of the Bel-Robinson tensor
General Relativity and Gravitation 30, 227-238, 1998

On the Penrose inequality and the role of auxiliary spinor fields
Classical and Quantum Gravity 14, 2577-2583, 1997

A Lanczos potential in Kerr geometry
Journal of Mathematical Physics 38, 3142-3154, 1997

Energy of small surfaces
Classical and Quantum Gravity 11, 3013-3023, 1994

On the gauge freedom of gravitational energy
Classical and Quantum Gravity 11, 2545-2551, 1994

Simplified spinorial proof of the positive energy theorem
Physical Review D 48, 628-630, 1993

Positivity and definitions of mass
Classical and Quantum Gravity 9, 1917-1922, 1992

Quasilocal mass for event horizons
Classical and Quantum Gravity 9, 1753-1768, 1992

Quasilocal momentum and angular momentum in Kerr spacetime
Classical and Quantum Gravity 8, 697-701, 1991 (with M.Ludvigsen)

A simple proof of the perturbative uniqueness of the Kerr solution
General Relativity and Gravitation 21, 1171-1175, 1989 (with M.Ludvigsen)

Spinor propagation and quasilocal momentum for the Kerr solution
Classical and Quantum Gravity 6, L133-136, 1989 (with M.Ludvigsen)

Quasilocal momentum near a point
Classical and Quantum Gravity 4, L29-32, 1987 (with M.Ludvigsen)

Exact nonlinear dielectric function of the Resta model for semiconductors
Physics Letters 106A, 8, 396-398, 1984 (with K.A.Chao)

Page responsible: goran.bergqvist@liu.se
Last updated: 2016-11-07