Pseudo-complex General Relativity

Hess, Peter O.; Schäfer, Mirko; Greiner, Walter

doi:10.1007/978-3-319-25061-8_2

Cited by 25 publications

(67 citation statements)

References 32 publications

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“…The new metric component g 00 , proposed in this contribution, is of the form

(1 - \frac{2 m_{0}}{r} + f (r))

, where f ( r ) comes off stronger than 1/ r 2 . Such a term was also proposed in Hess et al (), within the pseudo‐complex General Relativity (pcGR) Hess & Greiner ().…”

Section: Introductionmentioning

confidence: 88%

Regge–Wheeler and Zerilli equations within a modified theory of general relativity

Hess

López‐Moreno

2019

Astron Nachr

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An r-dependent term is added to the metric for the study of extensions of the Theory of General Relativity (GR). The stability of the Schwarzschild solution is investigated with and without the presence of this additional term. Polar (Zerilli) and axial (Regge-Wheeler) modes are studied and the differences discussed. The main conclusion is that, with an r-dependent term in the metric, the axial and polar modes remain stable. Assuming that GR describes the data of the gravitational wave events, in the modified theory, axial modes involve larger masses, which might change the interpretation of the source of the gravitational wave events observed.

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“…The new metric component g 00 , proposed in this contribution, is of the form

(1 - \frac{2 m_{0}}{r} + f (r))

, where f ( r ) comes off stronger than 1/ r 2 . Such a term was also proposed in Hess et al (), within the pseudo‐complex General Relativity (pcGR) Hess & Greiner ().…”

Section: Introductionmentioning

confidence: 88%

Regge–Wheeler and Zerilli equations within a modified theory of general relativity

Hess

López‐Moreno

2019

Astron Nachr

Self Cite

View full text Add to dashboard Cite

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“…The orbital frequency for a particle in a circular orbit and for n = 3 was given in Schönenbach (2013); Hess (2015). For n arbitrary and for prograde orbitals, this is…”

Section: The Theory Consequences and Predictionsmentioning

confidence: 99%

“…The orbital frequency of a particle in a circular orbit for the case GR (upper curve) and for n = 3 (dashed curve) and n = 4 (dotted curve) B = B max . constant (it is a function in r, see also Hess (2015)). In Schönenbach (2014) it is shown that for a 0.4 m (n = 3) the last stable orbit is at a lower value of r but follows approximately the behavior of GR.…”

Section: The Theory Consequences and Predictionsmentioning

confidence: 99%

Predictions of the pseudo-complex theory of Gravity for EHT observations – II: theory and predictions

Hess

Boller

Müller

et al. 2019

Monthly Notices of the Royal Astronomical Society: Letters

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We present a resumé on the modified theory of gravity, called pseudo-complex General Relativity (pc-GR). It is the second in a series of papers, where the first one (Boller et al. 2019, referred to as paper I) discussed the observational consequences of pc-GR. In this paper, we concentrate on the underlying theory. PC-GR involves an algebraic extension of the standard theory of GR and it depends on two phenomenological parameters. An element included in pc-GR that is not present in standard GR is the energy-momentum tensor corresponding to an anisotropic ideal fluid, which we call dark energy. The two parameters are related to the coupling of mass to the dark energy and its fall-off as a function of r. The consequences and predictions of this theory will be discussed in the context of the observational results of the Even Horizon Telescope, expected soon. Our main result is that due to the accumulation of dark energy near a large mass, the modified theory predicts a dark ring followed by a bright ring in the emission profile of the accretion disc. We also discuss the light ring in the equatorial plane.

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“…The general avoidance of spacetime singularities would be a desirable feature, for example, in a future quantum theory of gravity (Penrose ). Due to the lack of a fully quantized theory of gravity, pseudo‐complex GR (pc‐GR) represents an alternative approach by postulating that no acceptable physical theory should present singularities (Hess & Greiner ).…”

Section: Pseudocomplex General Relativitymentioning

confidence: 99%

“…Conceptually speaking, in pc‐GR, mass not only curves spacetime but is supposed to also be able to change vacuum properties of the universe. This theory has been applied, among other systems, to neutron stars (Hess & Greiner ).…”

Section: Pseudocomplex General Relativitymentioning

confidence: 99%

Pseudo‐complex general relativity and the slow rotation approximation for neutron stars

et al. 2019

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Pseudo‐complex General Relativity (pc‐GR) is an algebraic extension of the standard theory of gravitation that relies on pseudo‐complex spacetime coordinates and corresponds to the introduction of two, in general different, metrics which are connected through specific conditions. The pseudo‐complex formalism has an extra contribution, when compared to the Einstein equations, which represent classical spacetime oscillations, with a repulsive character, that has been associated to quantum vacuum fluctuations of the universe (dark energy). This dark energy is relevant only when intense gravitational fields are present. Therefore, neutron stars are an interesting environment to test predictions of pc‐GR. Since all neutron stars rotate, it follows that a complete account of the implications of pc‐GR for compact stars should include rotation effects. In this work, we analyze through monopole corrections the impact of the pseudo‐complex formalism in slow‐rotating relativistic neutron stars.

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Pseudo-complex General Relativity

Cited by 25 publications

References 32 publications

Regge–Wheeler and Zerilli equations within a modified theory of general relativity

Regge–Wheeler and Zerilli equations within a modified theory of general relativity

Predictions of the pseudo-complex theory of Gravity for EHT observations – II: theory and predictions

Pseudo‐complex general relativity and the slow rotation approximation for neutron stars

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