Even though the consensus is that gravitational waves almost definitely exist, it has been well documented that there is no direct evidence.
My question; what are the alternatives to gravitational waves for explaining the evidence we have?
I believe indirect evidence for their existence, such as the 'Hulse-Taylor pulsar', is either too weak for us to detect sufficiently or there is too much 'background noise', so is the only other explanation that these results are a mathematical anomaly?
Also, how and why has the validity of the evidence for gravitational waves changed over time? i.e. Have gravitational waves always been considered the most valid explanation for the results of the 'indirect evidence'? Are there any results which retroactively have been attributed to gravitational waves?