Popular wisdom amongst theoretical physicists says that spacetime is probably not a fundamental entity of nature, but rather an emergent one. While most arguments to support that view arise from very speculative ideas (usually related to attempts to understand gravity at the quantum level), the argument can also be made by only invoking...
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March 23, 2021 (v1)PublicationUploaded on: December 4, 2022
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March 18, 2023 (v1)Conference paper
Despite its non-linear form, entangled relativity possesses both general relativity and standard quantum field theory in a specific (but generic) limit. On one side it means that the theory is consistent with our current understanding of elementary physics. But on the other side it means that our current understanding might actually just be...
Uploaded on: May 11, 2023 -
December 25, 2019 (v1)Publication
Standard Shapiro delay-based test of the equivalence principle, which are grounded on the measurement of two arrival times from a unique source but from messengers with different properties, cannot produce a reliable quantitative test of the Einstein equivalence principle. Essentially because they are based on the estimation for different...
Uploaded on: December 4, 2022 -
January 30, 2022 (v1)Conference paper
I present two results that show that, despite its unusual non-linear form, the phenomenology of entangled relativity remains close to the one of general relativity -- without having any free parameter that can be fine tuned in order to facilitate this. In particular, I present the analytical solutions for spherically charged black-holes, and...
Uploaded on: December 3, 2022 -
June 24, 2022 (v1)Publication
In this manuscript, I show that the quantum field theory treatment of entangled relativity requires the existence of a new quantum of action that is not the usual constant of Planck ($\hbar$). On the other hand, $\hbar$ can be thought to be an effective \textit{late times} and \textit{low energy limit} quantum of action -- which depends on the...
Uploaded on: December 3, 2022 -
2018 (v1)Journal article
In the present manuscript, I examine an intriguing relation at the classical level between General Relativity and a theory where matter couples uniquely multiplicatively to geometry in the Lagrangian density. Interestingly, the gravitational constant G is replaced by a novel fundamental constant, whose value is not tied to any classical...
Uploaded on: December 4, 2022 -
January 30, 2022 (v1)Conference paper
There are several shortcomings in the "standard" Shapiro delay tests of the equivalence principle on cosmological scales \cite{minazzoli:2019pr}. Although many people in the community already acknowledged this in the literature, and proposed alternative ways to compare potential Shapiro delays over cosmological scales -- e.g....
Uploaded on: December 3, 2022 -
2021 (v1)Journal article
It is argued that de Sitter space-times might be solutions of entangled relativity once the quantum trace anomaly from matter fields in curved space-times is taken into account. This hypothesis would be an elegant solution to the acceleration of the expansion of the Universe within the rigid framework of entangled relativity.
Uploaded on: December 4, 2022 -
September 11, 2023 (v1)Conference paper
Entangled Relativity is a non-linear reformulation of Einstein's general theory of relativity (General Relativity) that is more parsimonious in its formulation. It accurately recovers the results of General Relativity in many astrophysical situations, particularly in the Solar System, where the theory currently cannot be distinguished from...
Uploaded on: January 24, 2024 -
2021 (v1)Journal article
We describe the first numerical Tolman-Oppenheimer-Volkoff solutions of compact objects in entangled relativity, which is an alternative to the framework of general relativity that does not have any additional free parameter. Assuming a simple polytropic equation of state and the conservation of the rest-mass density, we notably show that, for...
Uploaded on: December 4, 2022 -
March 21, 2023 (v1)Publication
We describe here how planetary ephemerides are built in the framework of General Relativity and how they can be used to test alternative theories. We focus on the definition of the reference frame (space and time) in which the planetary ephemeris is described, the equations of motion that govern the orbits of solar system bodies and light rays....
Uploaded on: March 25, 2023 -
2021 (v1)Journal article
In this manuscript, we present analytical external spherical solutions of entangled relativity, which we compare to numerical solutions obtained in a Tolman–Oppenheimer–Volkoff framework. Analytical and numerical solutions match perfectly well outside spherical compact objects, therefore validating both types of solutions at the same time. The...
Uploaded on: December 3, 2022 -
2021 (v1)Journal article
In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely on the definition of matter fields. The electromagnetic field being the easiest (and perhaps the only)...
Uploaded on: December 3, 2022 -
August 6, 2024 (v1)Publication
In this paper, we present the solution for a Schwarzschild black-hole immersed in an electric or magnetic background field within the framework of Entangled Relativity. Previous solutions in Entangled Relativity required black-holes to be charged for the matter field to be defined everywhere. This is because the theory precludes the existence...
Uploaded on: August 7, 2024 -
March 27, 2023 (v1)Publication
We use MCMC to sample the posterior distribution of the mass of the graviton -- assumed here to be manifest through a Yukawa suppression of the Newtonian potential -- by using INPOP planetary ephemerides. The main technical difficulty is the lack of analytical formulation for the forward problem and the cost in term of computation time for its...
Uploaded on: March 31, 2023 -
December 3, 2024 (v1)Publication
Entangled Relativity is a non-linear reformulation of Einstein's General Theory of Relativity (General Relativity) that offers a more parsimonious formulation. This non-linear approach notably requires the simultaneous definition of matter fields, thus aligning more closely with Einstein's \textit{principle of relativity of inertia} than...
Uploaded on: January 13, 2025 -
2019 (v1)Journal article
The "Shapiro delay" experienced by an astronomical messenger traveling through a gravitational field has been used to place constraints on possible deviations from the equivalence principle. The standard Shapiro delay used to obtain these constraints is not itself an observable in general relativity, but is rather obtained by comparing with a...
Uploaded on: December 4, 2022 -
October 17, 2023 (v1)PublicationBayesian test of the strong equivalence principle in Brans-Dicke theories with planetary ephemerides
Context: We are testing strong equivalence principle with planetary ephemerides in the frame of the Brans-Dicke class of scalar tensor theories. Aims: In this work, we apply our recently proposed Bayesian methodology on the Brans-Dicke case, with an emphasis on the issue of the strong equivalence principle. Methods: We compare the posterior...
Uploaded on: November 25, 2023 -
September 2018 (v1)Journal article
In this paper, we study the local observational consequences of a violation of the Einstein Equivalence Principle induced by models of light scalar Dark Matter (DM). We focus on two different models where the scalar field couples linearly or quadratically to the standard model of matter fields. For both these cases, we derive the solutions of...
Uploaded on: December 4, 2022 -
July 4, 2023 (v1)Publication
In this work, we investigated Bayesian methodologies for constraining in the Solar System a Yukawa suppression of the Newtonian potential -- which we interpret as the effect of a non-null graviton mass -- by considering its impact on planetary orbits. Complementary to the previous results obtained with INPOP planetary ephemerides, we consider...
Uploaded on: July 7, 2023 -
March 25, 2017 (v1)Conference paper
When a light scalar field with gravitational strength interacts with matter, the weak equivalence principle is in general violated, leading for instance to a violation of the universality of free fall. This has been known and tested for a while. However, recent developments [Minazzoli & Hees, PRD 2016] showed that a novel manifestation of the...
Uploaded on: December 4, 2022 -
January 7, 2014 (v1)Journal article
International audience
Uploaded on: December 4, 2022 -
2017 (v1)Journal article
The direct observation of gravitational waves with Advanced LIGO and Advanced Virgo offers novel opportunities to test general relativity in strong-field, highly dynamical regimes. One such opportunity is the measurement of gravitational-wave polarizations. While general relativity predicts only two tensor gravitational-wave polarizations,...
Uploaded on: February 28, 2023