Abstract
In this paper, thick branes generated by the mimetic scalar field with Lagrange multiplier formulation are investigated. We give three typical thick brane background solutions with different asymptotic behaviors and show that all the solutions are stable under tensor perturbations. The effective potentials of the tensor perturbations exhibit as volcano potential, Poöschl–Teller potential, and harmonic oscillator potential for the three background solutions, respectively. All the tensor zero modes (massless gravitons) of the three cases can be localized on the brane. We also calculate the corrections to the four-dimensional Newtonian potential. On a large scale, the corrections to the four-dimensional Newtonian potential can be ignored. While on a small scale, the correction from the volcano-like potential is more pronounced than the other two cases. Combining the specific corrections to the four-dimensional Newtonian potential of these three cases and the latest results of short-range gravity experiments, we get the constraint on the scale parameter as k > rsim 10^{-4}eV, and constraint on the corresponding five-dimensional fundamental scale as M_* > rsim 10^5TeV.
Highlights
The nature of dark matter is one of the most mysterious fields in the modern theoretical physics [1,2]
We considered the thick brane model generated by a mimetic scalar field with the Lagrange multiplier formulation
With the existence of excess degrees of freedom, we constructed three background solutions. These three solutions have the same limit of eA|z→∞ → 0, the asymptotic behaviors of these three cases are different with Harmonic oscillator (HO) > PT > VO
Summary
The nature of dark matter is one of the most mysterious fields in the modern theoretical physics [1,2]. Once we consider the brane world theory, a series of massive particles beyond the standard model of particle physics will be predicted, e.g., massive gravitons and massive vector particles These massive particles will correct the forms of the four-dimensional Newtonian potential and Coulomb potential. [80,81], the authors promoted the four-dimensional mimetic gravity into the brane world theory and constructed some thick branes with richer inner structures which are excluded in the high-dimensional general relativity. Such thick branes with different structures result in different characters of the gravitational resonances and the correction to the Newtonian potential.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
