Why Information Gain can’t be used as a splitting method for Decision Tree Regression?

In Decision Tree Regression, we can use ‘Reduction in Variance’ or MSE(Mean Squared Errors) as Splitting Methods. There are methods like Gini Index, Information Gain, Chi-Square for splitting on Classification Trees. Now, I read somewhere that we cannot use Information gain as a splitting method for Regression Trees. Why is it so and what other…