Abstract

A complete theory of gravity impels us to go beyond Einstein's General Relativity. One promising approach lies in a new class of teleparallel theory of gravity named f(Q)f(Q), where the nonmetricity QQ is responsible for the gravitational interaction. The important roles any of these alternative theories should obey are the energy condition constraints. Such constraints establish the compatibility of a given theory with the causal and geodesic structure of space-time. In this work, we present a complete test of energy conditions for f(Q)f(Q) gravity models. The energy conditions allowed us to fix our free parameters, restricting the families of f(Q)f(Q) models compatible with the accelerated expansion our Universe passes through. Our results straight the viability of f(Q)f(Q) theory, leading us close to the dawn of a complete theory for gravitation.

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