Abstract
The GW170817 event opened a new window to test modifications to General Relativity with the aim of discard or impose strong constraints in extra dimension theories of gravity. Concerning these theories, the Randall–Sundrum brane-world theory – 4+1 spacetime model where its covariant Einstein field equations are composed with new extra terms that comes from extra dimensions – is begin tested in the multi-messenger astronomy field. In the same context, the aim of this paper is to impose new constrictions through measurements of the time-delay between the gravitational and electromagnetic signals: GW170817 and the recent S190425z, over the free cosmological parameters of this modified model. We assume that Gravitational Waves travel along a shortcut on the extra dimension. In addition, we consider the standard Lambda CDM model and perform a likelihood analysis in order to study effects like the H_0 tension in comparison to this extra-dimensional theory, obtaining a reduced H_0 value of the order of 0.2% in the low energy limit of this theory.
Highlights
The GW170817 event [1] and the recent S190425z detection [2], related with the multi-messenger Gravitational Waves (GWs) astronomy and subsequently electromagnetic counterparts [3], have been useful to set constraints on viable gravitational theories
Observations from the GW that came from the binary neutron stars merger, which was detected by the LIGO-VIRGO collaboration, and the one followed-up by a short gamma ray burst (GRB170817A), seeing just 1.75 ± 0.05 s later by Fermi and the International Gamma-Ray Astrophysical Laboratory [3], have been used lately in order to understand the constraints over the cosmological parameters in the theory
This event is a high confidence (> 99%) neutron stars merger with an electromagnetic counterpart caused by a weak gamma ray burst (GRB190425), being the only second event known in addition to GW170817
Summary
The GW170817 event [1] and the recent S190425z detection [2], related with the multi-messenger Gravitational Waves (GWs) astronomy and subsequently electromagnetic counterparts [3], have been useful to set constraints on viable gravitational theories. The aim of this paper is to constraint RS branes using the covariant form of the modified Einstein field equations [30] in the weak field limit In this scenario, the vacuum solution for the wave equation is not the traditional due that extra terms that come from Weyl terms will play an important role in the propagation and speed of GWs. Previous results have been focused in weak field limit, studying the consequences of the quadratic part of the energy–momentum tensor in the dynamics of binary system (see for instance [31]) and in extended theories of gravity [32,33]. Throughout the text, we will use natural units, unless we indicate otherwise
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