For Konoplya-Zhidenko deformed Schwarzschild black holes, epsilon controls photon sphere, shadow, and photon ring size while a2 and b2 are observationally degenerate, and EHT data constrain epsilon to about -0.09 to 0.19 (M87*) and -0.28 to 0.047 (Sgr A*).
On the weak field approximation of Brans-Dicke theory of gravity
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abstract
It is shown that in the weak field approximation solutions of Brans-Dicke equations are simply related to the solutions of General Relativity equations for the same matter distribution. A simple method is developed which permits to obtain Brans-Dicke solutions from Einstein solutions when both theories are considered in their linearized forms. To illustrate the method some examples found in the literature are discussed.
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Testing Extended Theories of Gravity via Black Hole Photon Rings
For Konoplya-Zhidenko deformed Schwarzschild black holes, epsilon controls photon sphere, shadow, and photon ring size while a2 and b2 are observationally degenerate, and EHT data constrain epsilon to about -0.09 to 0.19 (M87*) and -0.28 to 0.047 (Sgr A*).