No, all objects with mass do not experience the same effects of relativity. According to the theory of relativity, there are two main branches: special relativity and general relativity.
Special relativity, developed by Albert Einstein in 1905, applies to all objects, regardless of their mass. It describes the behavior of objects moving at speeds close to the speed of light relative to each other. Special relativity introduces concepts such as time dilation, length contraction, and the equivalence of mass and energy (E=mc²).
General relativity, formulated by Einstein in 1915, is a more comprehensive theory that includes special relativity as a special case. General relativity describes the effects of gravity and the curvature of spacetime caused by mass and energy. In this theory, the presence of mass and energy determines the curvature of spacetime, and the motion of objects is influenced by this curvature. Massive objects, such as planets, stars, and black holes, experience the effects of general relativity more significantly than less massive objects.
Therefore, while all objects are subject to special relativity, the effects of general relativity become more pronounced as the mass and energy of an object increase. Objects with larger masses have a greater influence on the curvature of spacetime and experience more substantial gravitational effects.