If it is questioned whether the Bhagavadgita is the work of Vyasa (whether he be Krishna of the Island is another question to be settled on its own merits), I answer that there is nothing to disprove his authorship. while on the one hand. allowing for the exigencies of philosophical exposition, the style is undoubtedly his or so closely modeled on his as to defy differentiation. More over, the whole piece is but the philosophical justification and logical enlargement of the gospel of action preached by Krishna in the Mahabharata proper, the undoubted work of the poet.
WritingThe Delight of Krishna
Vyasa: The Author of the Gita
Sri Aurobindo