Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

On the Concept of Gravito-Rotational Acceleration and its Consequences for Compact Stellar Objects

Version 1 : Received: 4 April 2021 / Approved: 6 April 2021 / Online: 6 April 2021 (10:08:23 CEST)
Version 2 : Received: 8 April 2021 / Approved: 9 April 2021 / Online: 9 April 2021 (13:28:53 CEST)

How to cite: Hassani, M.E. On the Concept of Gravito-Rotational Acceleration and its Consequences for Compact Stellar Objects . Preprints 2021, 2021040163 (doi: 10.20944/preprints202104.0163.v2). Hassani, M.E. On the Concept of Gravito-Rotational Acceleration and its Consequences for Compact Stellar Objects . Preprints 2021, 2021040163 (doi: 10.20944/preprints202104.0163.v2).

Abstract

In a previous series of papers relating to the Combined Gravitational Action (CGA), we have exclusively studied orbital motion without spin. In the present paper, we apply CGA to any self-rotating material body, i.e., an axially spinning massive object, which itself may be locally seen as a gravito-rotational source because it is capable of generating the gravito-rotational acceleration, which seems to be unknown to previously existing theories of gravity. The consequences of such an acceleration are very interesting, particularly for Compact Stellar Objects. Independently of the equation of state, it is found that the minimum radius of a stable neutron star is three times its gravitational radius, Rmin = 3GMNS/c2, and its critical and maximum internal magnetic field strength cannot exceed the value of 3×1018 G.

Subject Areas

CGA; gravito-rotational acceleration; gravito-rotational energy; neutron stars; pulsars

Comments (1)

Comment 1
Received: 9 April 2021
Commenter: Mohamed Elmansour Hassani
Commenter's Conflict of Interests: Author
Comment: I introduced minor changes to the title, abstract, and the mass and radius of neutron star.

1) Title: “On the concept of Concept of Gravito-Rotational Acceleration and its Consequences for Compact Stellar Objects

instead of  «Concept of Gravito-Rotational Acceleration and its Consequences for Compact Stellar Objects»

 2) Abstract: Independently of the equation of state, it is found that the minimum radius of a stable neutron star is three times its gravitational radius, Rmin = 3GMNS/c2, and its critical and maximum internal magnetic field strength cannot exceed the value of 3×1018 G.

instead of  «Independently of the equation of state, it is found that the critical and maximum internal magnetic field strength of a stable neutron star cannot exceed the value of 3×1018 G.»

 3)  The mass M and radius R of neutron star (NS) are replaced by MNS and RNS, respectively, in the formulae (25-28, 32).

The introduced minor changes are judged necessary for more clarity and consistency of text, and also to make a noticeable distinction between the generic and specific case(s) concerning the celestial bodies and the compact celestial bodies.
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