I
work on constructing soliton-type solutions in various physical
models. All of my publications can be found here.

Some
of my results are as follows.

In
*General
Relativity*:
black
holes with the Yang-Mills field –
solutions
providing
the first explicit
counterexample to the `No-Hair' conjecture,

and also
gravitational
sphalerons in
the Einstein-Yang-Mills theory [1].

In
*Supergravity*:
non-Abelian
supergravity monopoles
[2]
– essentially the
only known explicit solutions for gravity-coupled non-Abelian gauge
fields.

These solutions were used by Maldacena and Nunez for
the dual description of confinement of quarks, which had a large
impact on string theory.

In *Euclidean
Quantum Gravity*:
the complete one-loops calculation of the black-hole
pair creation rate via
the S^2\times S^2 gravitational instanton [3].

In
*Field
Theory*:
discovery of the
't
Hooft-Polyakov monopole
resonances [4],
the first
explicit construction of vortons
– spinning vortex loops
stabilized

by the centrifugal force [5],
[6]
discovery of the superconducting
vortices in the Weinberg-Salam theory [7].

**Selected
publications**

[1]
M. S. Volkov and D.V. Gal'tsov. *Gravitating
non-Abelian solitons and black holes with Yang-Mills fields*.
Physics
Reports,
319, 1-83 (1999).

[2] A. H. Chamseddine and M. S. Volkov.
*Non-Abelian
BPS monopoles in N=4 gauged supergravity.*
Phys.Rev.Lett.,
79, 3343-3346 (1997).

[3] M. S. Volkov and A. Wipf. *Black
hole pair creation in de Sitter space: a complete one-loop analysis.*
Nucl.Phys.,
B 582, 313-362 (2000).

[4] P. Forgacs and M. S. Volkov. *Resonant
excitations of the 't Hooft-Polyakov monopole*.
Phys.Rev.Lett.,
92, 151802
(2004).

[5]
E. Radu and M. S. Volkov, S*tationary
ring solitons in field theory – Knots and vortons. *Physics
Reports 468,
101-151 (2008).

[6]
J. Garaud and
E. Radu
and M. S. Volkov, S*ta**ble
cosmic **
vortons. *Phys.Rev.Lett.,
111, 171602 (2013).

[7]
J. Garaud and M. S. Volkov, *Superconducting
non-Abelian vortices in Weinberg-Salam theory - electroweak*
*thunderbolts**.
*Nucl.Phys.
(2009).