Inverting no-hair theorems: How requiring General Relativity solutions restricts scalar-tensor theories
This paper investigates how imposing the existence of specific General Relativity solutions, such as Schwarzschild or de Sitter black holes with stealth scalar hair, restricts the parameter space of general quadratic and cubic scalar-tensor theories, revealing that while requiring all such solutions eliminates odd-parity deviations from GR, less restrictive scenarios allow for specific deviations, stability constraints, and modified gravitational wave speeds.