THERE ARE NO BLACK HOLES — PSEUDO-COMPLEX GENERAL RELATIVITY: REVIEW AND SOME PREDICTIONS

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1217-1232 ◽  
Author(s):  
P. O. HESS ◽  
L. MAGHLAOUI ◽  
W. GREINER
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Dark Energy ◽  
Large Mass ◽  
Central Mass ◽  
Perihelion Shift ◽  
Complex Extension ◽  
Special Case ◽  
Complex General Relativity ◽  
Mass Concentrations

The pseudo-complex extension of general relativity will be reviewed, and as a special case the pseudo-complex Schwarzschild metric will be discussed. As a consequence of the pseudo-complex extension, dark energy which accumulates around central mass concentrations arises. The collapse of a large mass will be avoided due to the presence of dark energy. Some experimental consequences will be discussed, like the redshift around large mass concentrations and the perihelion shift of Mercury.

scholarly journals PSEUDO-COMPLEX GENERAL RELATIVITY: SCHWARZSCHILD, REISSNER–NORDSTRÖM AND KERR SOLUTIONS

2012 ◽  
Vol 21 (02) ◽  
pp. 1250015 ◽  
Author(s):  
GUNTHER CASPAR ◽  
THOMAS SCHÖNENBACH ◽  
PETER OTTO HESS ◽  
MIRKO SCHÄFER ◽  
WALTER GREINER
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Dark Energy ◽  
Experimental Verification ◽  
Circular Orbit ◽  
Large Mass ◽  
Schwarzschild Solution ◽  
Energy Part ◽  
Complex General Relativity

The pseudo-complex General Relativity (pc-GR) is further considered. A new projection method is proposed. It is shown that the pc-GR introduces automatically terms into the system which can be interpreted as dark energy. The modified pseudo-complex Schwarzschild solution is investigated. The dark energy part is treated as a liquid and possible solutions are discussed. As a consequence, the collapse of a large stellar mass into a singularity at r = 0 is avoided and no event-horizon is formed. Thus, black holes do not exist. The resulting object can be viewed as a gray star. It contains no singularity which emphasizes, again, that it is not a black hole. The corrections implied by a charged large mass object (Reissner–Nordström) and a rotating gray star (Kerr) are presented. For the latter, a special solution is presented. Finally, we will consider the orbital speed of a mass in a circular orbit and suggest a possible experimental verification.

There are No Black Holes—Pseudo-Complex General Relativity

2015 ◽  
pp. 33-42
Author(s):  
Walter Greiner ◽  
Peter O. Hess ◽  
Mirko Schäfer ◽  
Thomas Schönenbach ◽  
Gunther Caspar
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Complex General Relativity

scholarly journals Quasi-normal modes of static spherically symmetric black holes in f(R) theory

2020 ◽  
Vol 80 (1) ◽  
Author(s):  
Sayak Datta ◽  
Sukanta Bose
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Gravitational Wave ◽  
Normal Modes ◽  
Einstein Frame ◽  
Spherically Symmetric ◽  
Inhomogeneous Term ◽  
Binary Black Hole ◽  
Special Case

AbstractWe study the quasi-normal modes (QNMs) of static, spherically symmetric black holes in f(R) theories. We show how these modes in theories with non-trivial f(R) are fundamentally different from those in general relativity. In the special case of $$f(R) = \alpha R^2$$f(R)=αR2 theories, it has been recently argued that iso-spectrality between scalar and vector modes breaks down. Here, we show that such a break down is quite general across all f(R) theories, as long as they satisfy $$f''(0)/(1+f''(0)) \ne 0$$f′′(0)/(1+f′′(0))≠0, where a prime denotes derivative of the function with respect to its argument. We specifically discuss the origin of the breaking of isospectrality. We also show that along with this breaking the QNMs receive a correction that arises when $$f''(0)/(1+f'(0)) \ne 0$$f′′(0)/(1+f′(0))≠0 owing to the inhomogeneous term that it introduces in the mode equation. We discuss how these differences affect the “ringdown” phase of binary black hole mergers and the possibility of constraining f(R) models with gravitational-wave observations. We also find that even though the iso-spectrality is broken in f(R) theories, in general, nevertheless in the corresponding scalar-tensor theories in the Einstein frame it is unbroken.

scholarly journals Pseudo-Complex General Relativity

2017 ◽  
Vol 45 ◽  
pp. 1760002 ◽  
Author(s):  
Peter O. Hess
Keyword(s):  
General Relativity ◽  
Dark Energy ◽  
Accretion Disks ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Minimal Length ◽  
Einstein Equations ◽  
Vacuum Fluctuations ◽  
The Right ◽  
Complex General Relativity

The present status of the pseudo-complex General Relativity is presented. The pcGR includes many known theories with a minimal length. Restricting to its simplest form, an energy-momentum tensor is added at the right hand side of the Einstein equations, representing a dark energy, related to vacuum fluctuations. We use a phenomenological ansatz for the density and discuss observable consequences: Quaisperiodic Oscillations (QPO), effects on accretion disks and gravitational waves.

scholarly journals Strongly coupled dark energy cosmologies yielding large-mass primordial black holes

2019 ◽  
Vol 486 (2) ◽  
pp. 2321-2335 ◽  
Author(s):  
Silvio A Bonometto ◽  
Roberto Mainini ◽  
Marino Mezzetti
Keyword(s):  
Black Holes ◽  
Dark Energy ◽  
Large Mass ◽  
Primordial Black Holes ◽  
Strongly Coupled

scholarly journals THE ROBERTSON–WALKER METRIC IN A PSEUDO-COMPLEX GENERAL RELATIVITY

2010 ◽  
Vol 19 (07) ◽  
pp. 1315-1339 ◽  
Author(s):  
PETER O. HESS ◽  
LEILA MAGHLAOUI ◽  
WALTER GREINER
Keyword(s):  
General Relativity ◽  
Dark Energy ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Walker Metric ◽  
The Universe ◽  
Complex General Relativity

We investigate the consequences of the pseudo-complex General Relativity within a pseudo-complexified Robertson–Walker metric. A contribution to the energy–momentum tensor arises, which corresponds to a dark energy and may change with the radius of the universe, i.e., time. Only when the Hubble function H does not change in time, the solution is consistent with a constant Λ.

Beyond the Schwarzschild Metric

2018 ◽  
Author(s):  
David M. Wittman
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Gravitational Waves ◽  
Test Particle ◽  
Direct Detection ◽  
Relativistic Effects ◽  
Big Bang ◽  
Clusters Of Galaxies ◽  
General Relativistic ◽  
The Universe

General relativity explains much more than the spacetime around static spherical masses.We briefly assess general relativity in the larger context of physical theories, then explore various general relativistic effects that have no Newtonian analog. First, source massmotion gives rise to gravitomagnetic effects on test particles.These effects also depend on the velocity of the test particle, which has substantial implications for orbits around black holes to be further explored in Chapter 20. Second, any changes in the sourcemass ripple outward as gravitational waves, and we tell the century‐long story from the prediction of gravitational waves to their first direct detection in 2015. Third, the deflection of light by galaxies and clusters of galaxies allows us to map the amount and distribution of mass in the universe in astonishing detail. Finally, general relativity enables modeling the universe as a whole, and we explore the resulting Big Bang cosmology.

Sign in / Sign up

Export Citation Format

Share Document