Page 1. Gravitational lensing by naked singularities KS Virbhadra* Department of Applied
Mathematics, University of Cape Town, Rondebosch 7701, South Africa and Physics and
Mathematics Departments, Duke University, Durham, North Carolina 27708 …

… 2.2 Mathematicians versus Physicists … astronomers are addressing many of the most important
scientific questions in astronomy and physics: • What is … in the astrophysics of gravitational lensing,
have joined forces with Arlie Petters, a leading mathematical physicist, to write …

An argument leading from the Lorentz invariance of the Lagrangian to the introduction of the
gravitational field is presented. Utiyama's discussion is extended by considering the 10‐
parameter group of inhomogeneous Lorentz transformations, involving variation of the …

… of fiber bundles in gauge theories was pointed out to the bulk of the physics community by … that
the same class of problems was being attacked simultaneously by mathematicians and physicists
and that … In the main body of this article, we will attempt to provide a physicist with the …

Journal of Mathematical Physics 13, 286 (1972); https://doi.org/10.1063/1.1665972 … Cite
as: Journal of Mathematical Physics 13, 286 (1972); https://doi.org/10.1063/1.1665972
Submitted: 12 July 1971 . Published Online: 31 October 2003 … Colliding plane gravitational …

… (b) M is the quotient space of P by the equivalence relation of the right multiplication Ra , and
the projection II: P- M is smooth. (c) P is locally trivial, that is, for any XE M there exists an open
subset U of M containing x such that the set rr-l( U) defined by II(Ir-l( U» = U is isomorphic to UXG …

… GRAVITATIONAL INSTANTONS SW HAWKING Department ofApplied Mathematics and
Theoretical Physics, University of Cambridge, Cambridge, England Received 17 January 1977 …
82 Page 3. Volume 60A,number 2 PHYSICS LETTERS … [4] CW Misner, J. Math. Phys …

Asymptotic expansions are used to study outgoing gravitational radiation in an expanding,
dust‐filled Friedmann universe of negative curvature. It is found that the interaction with the
matter modifies the``peeling‐off''behavior. A quantity is defined which is interpreted as the …

… of Technology, Cambridge, Massachusetts 02139, USA SW Hawking Department of Applied
Mathematics and Theoretical … T6G 2J1, Canada A. Linde PN Lebedev Institute of Physics, Academy
of … X Contributors R. Penrose Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB …

A generation theorem for solutions of Einstein's equations is presented. It consists mainly of
algebraic steps. With its aid, one obtained from an'old'solution (eg from the Minkowski
space)'new'solutions with an arbitrary number of constants. The method of repeated …