Abstract
Separately, neither electromagnetic (EM) observations nor gravitational wave (GW) observations can distinguish between the f(T) model and the Lambda CDM model effectively. To break this degeneration, we simulate the GW measurement based on the coming observation facilities, explicitly the Einstein Telescope. We make cross-validations between the simulated GW data and factual EM data, including the Pantheon, H(z), BAO and CMBR data, and the results show that they are consistent with each other. Anyway, the EM data itself have the H_0 tension problem which plays critical role in the distinguishable problem as we will see. Our results show that the GW+BAO+CMBR data could distinguish the f(T) theory from the Lambda CDM model in 2sigma regime.
Highlights
The direct detection of gravitational wave (GW) confirms a major prediction of Einstein’s General Relativity (GR) and initiates the era of gravitational wave physics [1,2,3,4,5,6,7,8,9]
General Relativity (GR) which based on the symmetric metric with Levi-Civita connection could produce GW events, and the Teleparallel Gravity with Weitaenbock connection [10,11,12,13] could produce observable GW events
The EM data contain the Pantheon, H(z), baryon acoustic oscillation (BAO) and CMBR data which are widely used in explorations of cosmology
Summary
The direct detection of gravitational wave (GW) confirms a major prediction of Einstein’s General Relativity (GR) and initiates the era of gravitational wave physics [1,2,3,4,5,6,7,8,9]. For GW signals, besides the “+” and “×” polarization patterns, the simplest f (T ) gravity in four dimensional spacetime provides one extra degrees of freedom, namely a massive vector field. The literature [33] constrains the f (T ) model by using the GW phase effect based on the TaylorF2 GW waveform. It shows that detection sensitivity within ET can improve up two orders of magnitude of the current bound on the f (T ) gravity. In view that only the EM data cannot distinguish the f (T ) model from the CDM model effectively, we will simulate the GW data from Einstein Telescope design and the f (T ) model parameters. We explore one of the most interesting and tractable f (T ) models with one extra parameter
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