Modified dispersion relations in extra dimensions

Sefiedgar, A. S.; Nozari, Kourosh; Sepangi, H. R.

doi:10.1016/j.physletb.2010.11.067

Cited by 60 publications

(69 citation statements)

References 77 publications

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“…Nozari and Anvari in [31] proposed a modification of the Planck law. This was made by using a modified dispersion relation showed in [31,[55][56][57][58][59], in which the square of the energy-momentum vector is:…”

Section: Lqg Correctionsmentioning

confidence: 99%

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A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces

González-Ayala

Pérez-Oregon

Cordero

et al. 2015

Entropy

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In this work, we present the generalization of some thermodynamic properties of the black body radiation (BBR) towards an n-dimensional Euclidean space. For this case, the Planck function and the Stefan-Boltzmann law have already been given by Landsberg and de Vos and some adjustments by Menon and Agrawal. However, since then, not much more has been done on this subject, and we believe there are some relevant aspects yet to explore. In addition to the results previously found, we calculate the thermodynamic potentials, the efficiency of the Carnot engine, the law for adiabatic processes and the heat capacity at constant volume. There is a region at which an interesting behavior of the thermodynamic potentials arises: maxima and minima appear for the n-dimensional BBR system at very high temperatures and low dimensionality, suggesting a possible application to cosmology. Finally, we propose that an optimality criterion in a thermodynamic framework could be related to the 3-dimensional nature of the universe.

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Section: Lqg Correctionsmentioning

confidence: 99%

“…where L P is the Planck length and it depends on the dimensionality of the space-time [57][58][59], E is the energy and α and α take different values depending on the details of the quantum gravity candidates. Finally, the spectral energy density in the interval ν to ν + dν shown in [31] is,…”

Section: Lqg Correctionsmentioning

confidence: 99%

A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces

González-Ayala

Pérez-Oregon

Cordero

et al. 2015

Entropy

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“…There are many discussions concerning logarithmic corrections to the entropy area relation [22,23,38,39]. The logarithmic corrections to black hole have been also obtained in the tunneling formalism [40][41][42][43][44][45].…”

Section: Mdr* and The Entropy Of Rn Black Holesmentioning

confidence: 99%

“…we consider all natural cut offs such as minimal length and maximal momentum, not only even powers of energy but also odd powers of energy should be present [21][22][23]. Notice that, in the absence of quantum gravity corrections, i.e., α = 0, we obtain the standard dispersion relation…”

Section: Introductionmentioning

confidence: 99%

Radiation of charged black holes and modified dispersion relation

Kamali

Pedram

2016

Gen Relativ Gravit

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We investigate the effects of a modified dispersion relation proposed by Majhi and Vagenas on the Reissner-Nordström black hole thermodynamics in a universe with large extra dimensions. It is shown that entropy, temperature and heat capacity receive new corrections and charged black holes in this framework have less degrees of freedom and decay faster compared to black holes in the Hawking picture. We also study the emission rate of black hole and compare our results with other quantum gravity approaches. In this regard, the existence of the logarithmic prefactor and the relation between dimensions and charge are discussed. This procedure is not only valid for a single horizon spacetime but it is also valid for the spacetimes with inner and outer horizons.

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“…From the modified dispersion test [8][9][10][11][12][13][14][15][16] and waveform parametrized test [17][18][19][20][21][22][23][24][25], additional tight constraints on the deviations from GR were obtained. Until now, no significant departure from GR has been found.…”

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confidence: 99%

The first confirmed gravitational wave detection in LIGO’s second observational run

Jin

Fan

2017

Sci. China Phys. Mech. Astron.

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Citation: J. Li, and X. L. Fan, The first confirmed gravitational wave detection in LIGO's second observational run, Sci. China-Phys. Mech. Astron. 60, 120431 (2017), https://doi.org/10.1007/s11433-017- In this article, we describe the results concerning the third coincident signal GW170104 from the coalescence of binary black holes (BBHs) during the second observation run (O2). The result was obtained from the LIGO Scientific Collaboration and the Virgo Collaboration. Following the first and second gravitational waves (GWs) detections in the first observation run (O1) [1], recently LIGO has observed a third coincident signal GW170104 from the coalescence of BBHs during the second observation run (O2) [2]. The observation was made on January 4, 2017 at 10:11:58.6 UTC through the Hanford and Livingston detectors. The search procedures for this detection were similar to the previous events. With improved data quality and detector sensitivity, the LIGO and Virgo Collaborations found no evidence of instrumental or environmental noise that may have contributed to the GW170104 signal. Based on the matched filter method, the event was detected by the waveform-based PyCBC pipeline [3,4] with a network signal-to-noise ratio (SNR) of 13 and a false alarm rate of less than 1 in 70000 years; the event was later independently identified by other pipelines.From a coherent Bayesian analysis of the data in both detectors [5,6], the values of the source parameters were recovered by the collaborations with 90% credible intervals. The coalescence of BBHs was located at a luminosity distance, D L , or about 3 billion light years, which is the farthest dis-*Corresponding author (email: fanxilong@outlook.com) tance recorded so far. Therefore the successful detection of such a weak signal at a greater distance has given more confidence. The total mass of the source is ∼ 50M ⊙ , which is in the mass gap of the GW151226 source (∼21M ⊙ ) and the GW150914 source(∼62M ⊙ ). In theory, the formation of such BBHs systems is suggested in a sub-solar metallicity environment [7]. As a subdominant parameter of the BBHs, their effective inspiral spin is inferred, which implies that black holes might spin in any direction [2]. This is the first time that the LIGO and Virgo Collaborations have obtained experimental evidence to show that the spins of BBHs may be antialigned (not excluding zero spins), but the probability seems very low. This research is meaningful in distinguishing the theoretical models for BBHs' formation.Combined with previous events, it provides more confidence for the result of the general relativity (GR) testing. From the modified dispersion test [8][9][10][11][12][13][14][15][16] and waveform parametrized test [17][18][19][20][21][22][23][24][25], additional tight constraints on the deviations from GR were obtained. Until now, no significant departure from GR has been found.Searches: As with the searches from the previous detections, the analysis search for the source of GW170104, which is also included online and offline se...

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Modified dispersion relations in extra dimensions

Cited by 60 publications

References 77 publications

A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces

A Possible Cosmological Application of Some Thermodynamic Properties of the Black Body Radiation in n-Dimensional Euclidean Spaces

Radiation of charged black holes and modified dispersion relation

The first confirmed gravitational wave detection in LIGO’s second observational run

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