Signature of nonuniform area quantization on gravitational waves

Signature of Non-uniform Area Quantization on Black Hole Echoes

“…As a consequence, our model breaks the universality of the echo-time, i.e., the time difference between two consecutive echoes, and make it dependent on the model of area quatization. Thus, our work compliments the results of [7], by computing the possible effects of non-uniform area quatization on the gravitational wave echo spectrum similar to the inspiral case studied in [18]. We use a scenario where the black hole entropy has sub-leading corrections in the form of power-law [14][15][16].…”

“…Our work opens up a potential possibility to impose severe constraints on the choice of theoretically plausible models of area quantization using the future observation of black hole echo signals from different sources. Our study also provides another test for the area-entropy proportionality in parallel to the test presented in [18].…”

“…( 1). Then, it can only absorb at certain frequencies, characterized solely by the mass of a Schwarzschild black hole [3,18]:…”

“…( 2) suggests that we should choose the values of (C, ν) so that |C (1 + ν) N ν | < 1. Moreover, as discussed in [18], for enriching the absorption spectrum, it is recommended to choose C < 0 rather than C > 0. All these considerations make the quantity [1 + C (1 + ν) N ν ] to lie in the interval (0, 1).…”

“…The upshots of such a non-uniform area quantization on the phasing of gravitational waveform from coalescing black hole inspirals is analysed in [18]. It has been shown that any correction to the area law may lead to detectable consequences in future GW observations.…”