Flat and bent branes with inner structure in two-field mimetic gravity

p-形式模拟引力的对偶模型及其与由(p+1)-膜组成的完美流体的联系

Dual models for p-form mimetic gravity and their connection to perfect fluids consisting of (p+1)-branes

本文提出通过电-磁对偶将p-形式模拟引力重表述为非线性电动力学，并证明其与(p+1)-膜流体相关，特别在n=4，p=1时与尼尔森-奥尔森对偶弦理论对偶，并探讨了宇宙学解。

Fundamental energy scale of the thick brane in mimetic gravity

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 corre…

Gravity Localization and Effective Newtonian Potential for Bent Thick Branes

In this letter, we first investigate the gravity localization and mass spectrum of gravity KK modes on de Sitter and Anti-de Sitter thick branes. Then, the effective Newtonian gravitational potentials for these bent branes are discussed by the two typical examples. The corrections of the Newtonian potential turns out to be $ΔU(r)\sim 1/r^{2}$ at small $r$ for both cases. These corrections are very different from that of the Randall-Sundrum brane model $ΔU(r)\sim 1/r^{3}$.

First-order formalism for bent brane

This work deals with braneworld scenarios in the presence of real scalar field with standard dynamics. We show that the first-order formalism, which exists in the case of flat brane, can be extended to bent brane, for both de Sitter and anti-de Sitter geometry. We illustrate the results with some examples of current interest to high energy physics.

4D gravity on a non-BPS bent dilatonic brane

We investigate the localization of metastable four-dimensional gravity around a bent dilatonic brane, embedded into a five-dimensional space, that exists only up to distances sufficiently small compared to a crossover scale. Far from such scale, five-dimensional effects strongly deviate the Newtonian potential. We study this effect by considering localization of massive gravity on a non-BPS bent dilatonic 3-brane solution of a five-dimensional supergravity. Our results show that the cosmological constant on the bent brane controls the size of the crossover scale. For sufficiently small positiv…

膜框架中的拟引力

Mimetic gravity in the extended objects framework

本文提出了一种基于洛夫洛克型膜引力的拟嵌入引力理论，通过引入特殊电流来解释扩展对象的引力行为，并探讨了其与完美流体的关联。

Scalar fields, bent branes, and RG flow

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investigate renormalization group flow. We have found symmetric brane solutions with four-dimensional anti-de Sitter geometry whose holographically dual field theory exhibits a weakly coupled regime at high ener…

Born-Infeld 类标量场模型中的平直与弯曲膜

Flat and bent branes in Born-Infeld-like scalar field models

本文研究了在 Born-Infeld 类标量场模型中，由单一标量场建模的厚膜结构，推导了场方程及一阶形式条件，并通过具体模型展示了 4 维宇宙学常数对局域化翘曲因子和混合膜性质的控制。

Bent Domain Walls as Braneworlds

We consider domain walls embedded in curved backgrounds as an approximation for braneworld scenarios. We give a large class of new exact solutions, exhausting the possibilities for describing one and two walls for the cases where the curvature of both the bulk and the wall is locally constant. In the case of two walls, we find solutions where each wall has positive tension. An interesting property of these solutions is that the curvature of the walls can be much smaller than the tension, leading to a significant cancellation of the effective cosmological constant, which however is still much l…

Electroelasticity of Charged Black Branes

We present the first-order corrected dynamics of fluid branes carrying higher-form charge by obtaining the general form of their equations of motion to pole-dipole order. Assuming linear response theory, we characterize the corresponding effective theory of stationary bent charged (an)isotropic fluid branes in terms of two sets of response coefficients, the Young modulus and the piezoelectric moduli. We subsequently find large classes of examples in gravity of this effective theory, by constructing stationary strained charged black brane solutions to first order in a derivative expansion. Usin…

On the many-field f(R) brane

We consider the Randall-Sundrum braneworld theory with a single extra dimension of infinite extent to investigate generalized $f(R)$ braneworld models in the presence of several real scalar fields. In particular, we solve the modified Einstein equations for the case of flat brane, with zero cosmological constant, and for the case of bent brane, with a nonvanishing cosmological constant. In both cases we found explicit solutions for the scalar fields with analytical expressions for the respective warp factors.

Linearized Gravity in the Karch-Randall Braneworld

We present a linearized gravity investigation of the bent braneworld, where an AdS_4 brane is embedded in AdS_5. While we focus on static spherically symmetric mass distributions on the brane, much of the analysis continues to hold for more general configurations. In addition to the identification of the massive Karch-Randall graviton and a tower of Kaluza-Klein gravitons, we find a radion mode that couples to the trace of the energy-momentum tensor on the brane. The Karch-Randall radion arises as a property of the embedding of the brane in the bulk space, even in the context of a single brane…

Polyakov-like approach to the modified gravity and other geometric theories

We study the procedure that allows to rewrite the actions of some modified gravity theories like mimetic gravity and Regge-Teitelboim embedding theory as Einstein-Hilbert actions with additional matter contributions. It turns out that this procedure can be applied to brane action, which lead to a polynomial brane action. We also examine the connection between this procedure and Polyakov trick in string theory.