I.F.T.
Almuerzo-Seminario
(Lunch seminar)
September 15th, 4:00 p.m.
Electrogravity Duality
Naresh Dadhich
Presently visiting Dept. de Fisica Fonamental,
Universitat de Barcelona from Inter-University Centre for
Astronomy and Astrophysics, Pune University Campus, Pune 411007,
India.
When one decomposes gravitational field into electric and magnetic parts
it turns out that there are two kinds of electric parts corresponding to
the two kinds of charges, the usual matter-energy and the gravitational
field energy. The interesting question is to consider the duality
transformation between these two electric parts in relation to the
Einstein equation. Even though the vacuum equation is symmetric between
them, it is possible to construct solutions dual to the well-known
black hole solutions. In obtaining these solutions there remains
one equation free, that is it is implied by the others. Now even
if we tamper this equation the vacuum solution will not be
disturbed but the modified equation would no longer be duality
invariant. Now we can find solutions to the dual (modified) eqution.
The remarkable feature of the duality transformation is to incorporate
global monopole charge in black hole spacetimes. That is the solution
dual to the Schwarzschild black hole is the Schwarzschild black hole with
global monopole charge. This can be shown to be the case for all black
hole solutions. Similar to the vacuum case, it is possible to construct
spacetimes dual to flat spacetime which would represent zero-mass global
monopole (it could also be interpreted as uniform potential spacetime)
and global texture.
It appears that the proposed duality transformation is a natural way to
imbibe the Einstein vacuum/electrovac/flat spacetimes with a topological
defect of global monopole and texture.
The almuerzo-seminario is
intended to be an informal seminar and an open forum for discussion.
You are wellcome to bring your own
bocata (sandwich), or coffee or tea.
Where: Modulo C-XVI, 3rd floor,
Facultad de Ciencias U.A.M., C.U. Cantoblanco, 28049-Madrid
To get more information about this seminar e-mail
Tomás Ortín
or phone +34-1-397-8546
Last modified: Thu Jul 16 12:34:32 WET DST 1998