Ronald L. Mallett, PhD
Summary of Research Activity
Gravitational Field of Circulating Light Beams*
In Einstein's general theory of relativity, both matter and energy
can create a gravitational field. This means
that the energy of a light beam can produce
a gravitational field. My current research considers
both the weak and strong gravitational fields
produced by a single continuously circulating
unidirectional beam of light. In the weak gravitational
field of a unidirectional ring laser, it is
predicted that a spinning neutral particle,
when placed in the ring, is dragged around by
the resulting gravitational field.
[R. L. Mallett, "Weak gravitational field
of the electromagnetic radiation in a ring laser",
Phys. Lett. A 269, 214 (2000)]. [pdf]
Using the linearized Einstein gravitational
field equations and the Maxwell field equations
it is shown that the plane of polarization of
an electromagnetic wave is rotated by the gravitational
field created by the electromagnetic radiation
of a ring laser. An experimental arrangement
is suggested for the observation of this gravitational
Faraday effect induced by the ring laser.
[ D. E. Cox, J. G. O'Brien, R. L. Mallett, and
C. Roychoudhuri, "Gravitational Faraday
effect produced by a ring laser",
Found. Phys. 37, 723 (2007)]. [pdf]
For the strong gravitational field of a circulating cylinder of light, I have found new exact solutions
of the Einstein field equations for the exterior and interior gravitational fields of the light cylinder.
The exterior gravitational field is shown to contain closed timelike lines.
The presence of closed timelike lines indicates the possibility of
time travel into the past. This creates the foundation
for a time machine based on a circulating cylinder of
light. [R. L. Mallett, "The gravitational field of a circulating
Foundations of Physics 33, 1307 (2003)]. [pdf]
Bose-Einstein Dark Matter
In collaboration with Mark P. Silverman of the Department
of Physics of Trinity College, a general relativistically
covariant theory of a self coupled scalar field has
been developed as a possible solution of the missing
mass problem. We have shown that spontaneous symmetry
breaking of a neutral scalar field coupled to gravity
leads directly to ultra-low mass bosons, with a critical
temperature far above the temperature of the universe,
for most of its duration. The particles are therefore
expected to condense into a degenerate Bose Einstein
gas, providing a potential candidate for nonbaryonic
nonluminous matter [M.P.
Silverman and R.L. Mallett, "Cosmic degenerate matter:
a possible solution to the problem of missing mass,"
Class. Quantum Grav. 18, L37 (2001); M. P. Silverman
and R. L. Mallett, "Dark matter as a cosmic Bose-Einstein
condensate and possible superfluid",
Gen. Rel. Grav. 34, 633 (2002)].
Ronald Mallett on a visit to the
Einstein House in Bern, Switzerland