We present a model of relativistic elastic stars featuring scale invariance.
This implies a linear mass-radius relation and the absence of a maximum mass.
The most compact spherically symmetric configuration that is radially stable
and satisfies all energy and causality conditions has a slightly smaller radius
than the Schwarzschild light ring radius. To the best of our knowledge, this is
the first material compact object with such remarkable properties in General
Relativity, which makes it a unique candidate for a black-hole mimicker.Comment: 5 pages, 2 figure