  Recently, Tension is found between Early time and Late time Hubble constant
\cite{verde}-\cite{riess}. The late time Hubble constant measurements are found
to be $9\sim 10\%$ higher than the $\Lambda$CDM Hubble constant value. If these
results persist, we show that it could lead to challenges to the
Einstein-Straus and McVittie metrics that underlie the $\Lambda$CDM model,
while a recently proposed metric (VMOND) survives.
