Einstein and Beyond: A Critical Perspective on General Relativity

TL;DR

This paper critically reviews an alternative approach to General Relativity that addresses key theoretical issues by proposing that spacetime itself, rather than the energy-stress tensor, is the source of gravity, leading to a new paradigm with the equation R^{ik}=0.

Contribution

It introduces a novel perspective where matter and gravitational fields are inherently present in spacetime, challenging the traditional role of the energy-stress tensor in Einstein's theory.

Findings

Reveals that spacetime inherently contains matter and gravitational fields.

Proposes the equation R^{ik}=0 as the fundamental field equation with matter present.

Addresses unresolved issues like the cosmological constant problem and unphysical solutions.

Abstract

An alternative approach to Einstein's theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological constant problem, presence of non-Machian solutions, problems related with the energy-stress tensor $T^{ik}$ and unphysical solutions. The new approach emanates from a critical analysis of these problems, providing a novel insight that the matter fields, together with the ensuing gravitational field, are already present inherently in the spacetime without taking recourse to $T^{ik}$. Supported by numerous evidences, the new insight revolutionizes our views on the representation of the source of gravitation and establishes the spacetime itself as the source, which becomes crucial for understanding the unresolved issues in a unified manner. This leads to a new paradigm in GR by establishing equation $R^{ik}=0$ as the field equation of gravitation plus inertia in the very presence of matter.