Dark Universe and distribution of matter as quantum imprinting

Licata, Ignazio; Iovane, Gerardo; Chiatti, Leonardo; Benedetto, Elmo; Tamburini, Fabrizio

doi:10.1016/j.dark.2018.11.001

Cited by 7 publications

(7 citation statements)

References 36 publications

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“…This is obtained starting from Rosen's approach to cosmology and from that in [20]. The Schrödinger equation ruling the gravitational collapse of an extremal RNBH, as in the Archaic Universe scenario [21], can admit the existence of oscillatory solutions induced by the perturbation or an exponential suppression of the perturbation. This behavior is observed also in universes represented by a dust model with cosmological constant expressed in terms of Bessel functions.…”

mentioning

confidence: 99%

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On the quantization of the extremal Reissner-Nordström black hole

Corda¹,

Feleppa²,

Tamburini³

2020

EPL

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Following Rosen's quantization rules, two of the authors (C. Corda and F. Feleppa) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless “star of dust” in terms of a “gravitational hydrogen atom”. Here we generalize this approach to the gravitational collapse of a charged object, namely, to the geometry of a Reissner-Nordström BH (RNBH) and calculate the gravitational potential, the Schrödinger equation and the exact solutions of the energy levels of the gravitational collapse. By using the concept of BH effective state, previously introduced by one of us (CC), we describe the quantum gravitational potential, the mass spectrum and the energy spectrum for the extremal RNBH. The area spectrum derived from the mass spectrum finds agreement with a previous result by Bekenstein. The stability of these solutions, described with the Majorana approach to the Archaic Universe scenario, shows the existence of oscillatory regimes or exponential damping for the evolution of a small perturbation from a stable state.

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mentioning

confidence: 99%

“…We can study the evolution of the solutions of eq. ( 46) by adopting the approach by Ettore Majorana in his unpublished notes [22] for the study of the stability and scattering of the hydrogen-like atom as in [21]. Thus one can write…”

mentioning

confidence: 99%

On the quantization of the extremal Reissner-Nordström black hole

Corda¹,

Feleppa²,

Tamburini³

2020

EPL

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is obtained starting from Rosen's approach to cosmology and from that in [17]. The Schrödinger equation ruling the gravitational collapse of an extremal RNBH, as in the Archaic universe scenario [18], can admit the existence of oscillatory solutions induced by the perturbation or an exponential suppression of the perturbation. This behavior is observed also in universes represented by a dust model with cosmological constant expressed in terms of Bessel functions.…”

Section: Stability Of the Solutions With Respect To A Perturbationmentioning

confidence: 99%

“…We can study the evolution of the solutions of Eq. ( 46) by adopting the approach by Ettore Majorana in his unpublished notes [19] for the study of the stability and scattering of the hydrogen-like atom as in [18]. Thus one can write…”

Section: Stability Of the Solutions With Respect To A Perturbationmentioning

confidence: 99%

See 1 more Smart Citation

On the quantization of the extremal Reissner-Nordstrom black hole

Corda,

Feleppa,

Tamburini

2020

Preprint

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Following Rosen's quantization rules, two of the Authors (CC and FF) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless "star of dust" in terms of a "gravitational hydrogen atom". Here we generalize this approach to the gravitational collapse of a charged object, namely, to the geometry of a Reissner-Nordstrom BH (RNBH) and calculate the gravitational potential, the Schrödinger equation and the exact solutions of the energy levels of the gravitational collapse. By using the concept of BH effective state, previously introduced by one of us (CC), we describe the quantum gravitational potential, the mass spectrum and the energy spectrum for the extremal RNBH. The area spectrum derived from the mass spectrum finds agreement with a previous result by Bekenstein. The stability of these solutions, described with the Majorana approach to the Archaic Universe scenario, show the existence of oscillatory regimes or exponential damping for the evolution of a small perturbation from a stable state.

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Keplerian motion on a carousel: a research teaching project

Iovane

Benedetto

2019

Afr. Mat.

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Dark Universe and distribution of matter as quantum imprinting

Cited by 7 publications

References 36 publications

On the quantization of the extremal Reissner-Nordström black hole

On the quantization of the extremal Reissner-Nordström black hole

On the quantization of the extremal Reissner-Nordstrom black hole

Keplerian motion on a carousel: a research teaching project

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