Domain walls and other defects in Eddingtoninspired BornInfeld gravity
Abstract
We investigate domain wall and other defect solutions in the weakfield limit of Eddingtoninspired BornInfeld gravity as a function of κ , the only additional parameter of the theory with respect to general relativity. We determine, both analytically and numerically, the internal structure of domain walls, quantifying its dependency on κ as well as the impact of such dependency on the value of the tension measured by an outside observer. We find that the pressure in the direction perpendicular to the domain wall can be, in contrast to the weakfield limit of general relativity, significantly greater or smaller than zero, depending, respectively, on whether κ is positive or negative. We further show that the generalized von Laue condition, which states that the average value of the perpendicular pressure is approximately equal to zero in the weakfield limit of general relativity, does not generally hold in Eddingtoninspired BornInfeld gravity not only for domain walls, but also in the case of cosmic strings and spherically symmetric particles. We argue that a violation of the generalized von Laue condition should, in general, be expected in any theory of gravity whenever geometry plays a significant role in determining the defect structure.
 Publication:

Physical Review D
 Pub Date:
 November 2020
 DOI:
 10.1103/PhysRevD.102.104021
 arXiv:
 arXiv:2007.12794
 Bibcode:
 2020PhRvD.102j4021A
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 9 pages, 3 figures