Non-perturbative procedure for stable $K$-brane

Abstract

We propose a novel first-order formalism for a type of $K$-brane systems. An example solution is presented and studied. We illustrate how the noncanonical kinetic term can affect the properties of the model, such as the stability of the solutions, the localization of fermion and graviton. We argue that our solution is stable against linear perturbations. The tensor zero mode of graviton can be localized while the scalar zero mode cannot. The localization condition for fermion is also discussed.

7 pages, 3 figures

References in corpus (10)

• Causality, Analyticity and an IR Obstruction to UV Completion
• Braneworld Models of Scalar Fields with Generalized Dynamics
• TASI Lectures on Extra Dimensions and Branes
• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Gravity localization on thick branes: a numerical approach
• Scalar fields, bent branes, and RG flow
• Doppelganger defects
• Compact self-gravitating solutions of quartic (K) fields in brane cosmology
• Brane modeling in warped extra-dimension
• Twinlike models for kinks and compactons in flat and warped spacetime

Cited by in corpus (16)

• Full linear perturbations and localization of gravity on $f(R,T)$ brane
• Braneworld in $f(T)$ Gravity Theory with Noncanonical Scalar Matter Field
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• K-field kinks in two-dimensional dilaton gravity
• Braneworld solutions for modified theories of gravity with non-constant curvature
• Gravitational resonances on $f(R)$-brane
• $K$-field kinks: stability, exact solutions and new features
• Kinks in higher derivative scalar field theory
• Linear Stability of $f(R,\varphi ,X)$ Thick Branes: Tensor Perturbations
• Normal modes for two-dimensional gravitating kinks
• Gravity localization in sine-Gordon braneworlds
• Stability of braneworlds with non-minimally coupled multi-scalar fields
• Cosmological twinlike models with multi scalar fields
• Matching the linear spectra of twinlike defects
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• Brane structure and metastable graviton in five-dimensional model with (non)canonical scalar field