Constraining the cosmological parameters using gravitational wave observations of massive black hole binaries and statistical redshift information

Capability for detection of GW190521-like binary black holes with TianQin

“…and assisting EM observation data d i EM [102][103][104]. In such case, the likelihood can be writen as…”

“…The normalization term β(H|I) can be used to account for selection effects and ensure that the likelihood integrates to unity [102,116]. In this work, we follow the statistical method presented in the literature [104] to evaluate the selection biases of the survey galaxies catalog and calculate the normalization term.…”

No slip gravity in light of LISA standard sirens

“…The implications of cosmological studies using the standard sirens have motivated focused studies on the nature of dark energy, modified gravity, dark matter, and several other fundamental questions in modern cosmology . Even if the detected event has no electromagnetic counterpart, it is possible to use others methods to study cosmological parameters [61][62][63][64][65][66][67][68] In this article, we will forecast bounds for a motivated modified gravity model named No Slip gravity [69], a subclass of the Horndeski gravity [70], a general scalar tensor theory with second order field equations. The main characteristics of this model read as the speed of GWs propagation is equal to the speed of light, and equality between the effective gravitational coupling strengths to matter and light, but yet different from Newton's constant, which is capable of generating an effective gravitational coupling.…”