Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability - INSPIRE

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Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability

Yuan Zhong
(
- Xian Jiaotong U.
)

Jan 26, 2021

17 pages

Published in:

JHEP 04 (2021) 118

Published: Apr 13, 2021

e-Print:

2101.10928 [hep-th]

DOI:

10.1007/JHEP04(2021)118 (publication)

View in:

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Abstract: (arXiv)

Self-gravitating kink solutions of a two-dimensional dilaton gravity are revisited in this work. Analytical kink solutions are derived from a concise superpotential formalism of the dynamical equations. A general analysis on the linear stability is conducted for an arbitrary static solution of the model. After gauge fixing, a Schrödinger-like equation with factorizable Hamiltonian operator is obtained, which ensures the linear stability of the solution.

Note:

17 pages, 4 figures

2D Gravity
Solitons Monopoles and Instantons
stability: linear
kink: solution
dimension: 2
solution: stability
solution: static
Hamiltonian: operator
gravitation: dilaton
superpotential

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