Bogomol'nyi Bounds for Gravitational Cosmic Strings
arXiv:0809.4384 · doi:10.1088/1126-6708/2009/01/027
Abstract
We present a new method for finding lower bounds on the energy of topological cosmic string solutions in gravitational field theories. This new method produces bounds that are valid over the entire space of solutions, unlike the traditional approach, where the bounds obtained are only valid for cylindrically symmetric solutions. This method is shown to be a generalisation of the well-known Bogomol'nyi procedure for non-gravitational theories and as such, it can be used to find gravitational Bogomol'nyi bounds for models wherever the traditional Bogomol'nyi procedure can be applied in the non-gravitational limit. Furthermore, this method yields Bogomol'nyi equations that do not rule out the existence of asymmetric bound-saturating solutions.
17 pages - final version (accepted for publication in JHEP)
References in corpus (10)
- The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
- Semilocal and Electroweak Strings
- D-term strings
- Supergravity and a Bogomol'nyi Bound in Three Dimensions
- F-term strings in the Bogomol'nyi limit are also BPS states
- Local Axion Cosmic Strings from Superstrings
- The energy and stability of D-term strings
- Fermionic Zero Modes of Supergravity Cosmic Strings
- A note on the stability of axionic D-term strings
- P-term Strings and Semi-local Strings