Tests of General Relativity: A Review

Asmodelle, Estelle

doi:10.48550/arxiv.1705.04397

Cited by 14 publications

(16 citation statements)

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“…The evolution is started far from the singular point, and relatively close to the horizon. We make the assumption that, far from the singular point, non-commutative effects should be small as we know, for example, that the Schwarzschild solution is valid in moderately strong gravitational fields [75]. (In fact commutative general relativity seems to hold well even in the strong field regime [75], [76], so the noncommutative results here really are expected to be manifest only when one is approaching the scale of quantum gravity effects.)…”

Section: Iiiii Non-commutative Evolution Of Black Holesmentioning

confidence: 99%

“…We make the assumption that, far from the singular point, non-commutative effects should be small as we know, for example, that the Schwarzschild solution is valid in moderately strong gravitational fields [75]. (In fact commutative general relativity seems to hold well even in the strong field regime [75], [76], so the noncommutative results here really are expected to be manifest only when one is approaching the scale of quantum gravity effects.) Therefore on the initial time surface, which is far from the extremely strong field region, we set the values of of functions a I and E I set to their general relativity values.…”

Section: Iiiii Non-commutative Evolution Of Black Holesmentioning

confidence: 99%

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Non-commutative black holes of various genera in the connection formalism

Schneider,

DeBenedictis

2020

Preprint

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We consider black hole interiors of arbitrary genus number within the paradigm of noncommutative geometry. The study is performed in two ways: One way is a simple smearing of a matter distribution within the black hole. The resulting structure is often known in the literature as a "model inspired by non-commutative geometry". The second method involves a more fundamental approach, in which the Hamiltonian formalism is utilized and a non-trivial Poisson bracket is introduced between the configuration degrees of freedom, as well as between the canonical momentum degrees of freedom. This is done in terms of connection variables instead of the more common ADM variables. Connection variables are utilized here since non-commutative effects are usually inspired from the quantum theory, and it is the connection variables that are used in some of the more promising modern theories of quantum gravity. We find that in the first study, the singularity of the black holes can easily be removed. In the second study, we find that introducing a non-trivial bracket between the connections (the configuration variables) may delay the singularity, but not necessarily eliminate it. However, by introducing a non-trivial bracket between the densitized triads (the canonical momentum variables) the singularity can generally be removed. In some cases, new horizons also appear due to the non-commutativity.

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Section: Iiiii Non-commutative Evolution Of Black Holesmentioning

confidence: 99%

Section: Iiiii Non-commutative Evolution Of Black Holesmentioning

confidence: 99%

Non-commutative black holes of various genera in the connection formalism

Schneider,

DeBenedictis

2020

Preprint

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“…Despite the fact that Einstein's General Relativity (GR) [36] has successfully passed many observational and experimental tests [37][38][39], alternative theories of gravity are well motivated for a number of reasons related to dark matter, dark energy, renormalizability etc. One can mention among others, for instance, f (R) theories of gravity [40,41], Hořava gravity [42], scale-dependent gravity [43][44][45][46][47][48][49][50], Weyl conformal gravity [51] and massive gravity [52].…”

Section: Introductionmentioning

confidence: 99%

Accretion of matter and spectra of Binary X-ray sources in Massive Gravity

Panotopoulos,

Rincon,

Lopes

2021

Preprint

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We study low-mass binary X-ray sources involving stellar mass black holes within massive gravity. Regarding the accretion disk, we adopt the standard model for an optically thick, cool, and geometrically thin disk by Shakura-Sunyaev. For the gravitational field generated by the black hole, we consider the analogue of the Schwarzschild-de Sitter space-time of Einstein's theory in massive gravity, for which we found an additional term linear in the radial coordinate. Then, we compute the radial velocity, the energy density and the pressure as a function of the radial coordinate, and the X-ray emission's soft spectral component expected from the disk. We also investigated in detailed the impact of this new geometry. Our result indicates that by using observed spectra from confirmed X-ray binaries involving astrophysical black holes, we can put strong constraints on alternative theories of gravity.

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“…Einstein's theory of General Relativity (GR) [2], a geometric theory of gravity compatible with Special Relativity, is not only beautiful but also very successful as well [3,4]. Indeed, both the classical and solar system tests [5], and a few years back the direct detection of gravitational waves by the aLIGO/VIRGO observatories [6] have confirmed a series of remarkable predictions of GR, including the existence of gravitational waves. In fact, a series of additional gravitational wave events from black hole mergers [7][8][9][10], combined with the first image of a black hole from the Event Horizon Telescope last year [11][12][13], have provided us with the strongest evidence so far that black holes (BHs) exist in nature.…”

Section: Introductionmentioning

confidence: 99%

Four dimensional Einstein-power-Maxwell black hole solutions in scale-dependent gravity

Rincón¹,

Contreras²,

Bargueño³

et al. 2021

Preprint

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In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory with a vanishing cosmological constant in (3+1) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling. We further examine the corresponding thermodynamic properties and how these quantities experience deviations from their classical counterparts. We solve the effective Einstein's field equations using the "null energy condition" to obtain analytical solutions. The implications of quantum corrections are also briefly discussed. Finally, we analyze our solutions and compare them to related results in the literature.

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Tests of General Relativity: A Review

Cited by 14 publications

References 0 publications

Non-commutative black holes of various genera in the connection formalism

Non-commutative black holes of various genera in the connection formalism

Accretion of matter and spectra of Binary X-ray sources in Massive Gravity

Four dimensional Einstein-power-Maxwell black hole solutions in scale-dependent gravity

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