HyperVerge

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This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 9 Multi-solitonic and gyratonic gravitational waves So, we are interested in Robinson-Trautman metrics describing expanding spacetimes with spherical gravitational waves. Multi-soliton solutions of this type, associated with matter trapping, correspond to our Gogberashvili multiverses. If we admit that the null matter field has some internal spin / angular momentum, there are also more general (multi-)gyratonic solutions. They give rise to rotating Gogberashvili models/multiverses. This intriguing topic, including a thorough comparison ot two models, should be studied in more details. In particular, the harmony of transcosmic spheres should acquire more complete meaning.

Hyperverse, 5-dimensional Gravity and Multiverses: Multi-solitonic and Gyratonic Gravitational Waves

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 10 Elliptic and spiral galaxies It seems that it partially explains the classification of galaxies, harboring supermassive black holes at their cores. Indeed, on the one hand, supermassive black holes of multi-solitonic type could generate elliptic galaxies. On the other hand, multi-gyratonic black holes could generate spiral galaxies. The number of spirals and their configuration is related in this case to the number of multiversal layers and the harmony of the spheres (cf. sections 4 and 9). Relativistic jets, emitting by supermassive black holes at galaxy cores, also suggest their gyratonic nature.

Hyperverse, 5-dimensional Gravity and Multiverses: Elliptic and Spiral Galaxies

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 12 Conclusion It turns out that nested Gogberashvili shells represent good models for multiverses inside the Hyperverse. In this paper we have restrained the Hyperverse to its local (4 + 1)- dimensional stratum. However, similar solutions exist in all dimensions d + 1 with d > 2. In fact, we can construct an infinite tower of embedded Gogberashvili multiverses of various dimensions. An alternative approach is given by Robinson-Trautman metrics describing expanding spacetimes and spherical gravitational waves. It provides us with an intriguing idea to consider supermassive astronomical black holes as expanding (2 + 1)-dimensional multiverses (with possible higher strata too). It might give new angles of view on the black hole growth, the cosmological coupling, relativistic jets and even on the classification of galaxies. References [1] V. Rubakov and M. Shaposhnikov. Extra space-time dimensions: Towards a solution to the cosmological constant problem. Physics Letters B, 125(2-3):139–143, 1983. [2] M. Gogberashvili. Our world as an expanding shell. Europhysics Letters, 7(3):396–399, 2000. [3] I. Potemine. The amalgamated structure of the Local Multiverse. Journal of High Energy Physics, Gravitation and Cosmology, 7(4):1213–1218, 2021. [4] K. Alvi. Approximate binary-black-hole metric. Physical Review D, 61(12-15), 2000. [5] J. Podolsky, R. Svarc, and H. Maeda. All solutions of Einstein’s equations in 2+1 dimensions: Λ-vacuum, pure radiation, or gyratons. Classical and Quantum Gravity, 36, 2019. [6] I. Robinson and A. Trautman. Spherical gravitational waves. Physical Review Letters, 8(4):431–432, 1960. 7] J. Podolsky and R. Svarc. Gyratons in the Robinson–Trautman and Kundt classes. Physical Review D, 99, 2019. [8] T.X. Zhang. The principles and laws of black hole universe. Journal of Modern Physics, 9(9):1838–1865, 2018. [9] Y. Bisabr. Gravitational coupling and the cosmological constant. International Journal of Modern Physics D, 27(8), 2018. [10] K. Croker, M. Zevin, D. Farrah, K. Nishimura, and G. Tarl´e. Cosmologically coupled compact objects: A single-parameter model for LIGO–Virgo mass and redshift distributions. The Astrophysical Journal Letters, 921(2), 2021.

Hyperverse, 5-dimensional Gravity and Multiverses:  Conclusion & References 

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 11 Cosmological coupling Our constructions are consistent with the modern theory of cosmological coupling [9]. Recent astronomical observations show the abundance of black holes with unexpectedly high masses. Croker et al. proposed a mechanism, explaining the growth of black holes through anomalous coupling of matter with gravity [10]. It implies that the expansion of the universe and a large (but hidden) cosmological constant contribute to the growth of black hole masses.

Hyperverse, 5-dimensional Gravity and Multiverses: Cosmological Coupling

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 8 Black holes as multiverses

Hyperverse, 5-dimensional Gravity and Multiverses: Black Holes as Multiverses

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 7 Dark energy and multiversal nurseries It is possible to endow the Hyperverse with a metric approximately describing several widely separated Gogberashvili multiverses. For example, one can use the work of Kashif Alvi on widely separated binary black holes [4]. In our picture, the Hyperverse has numerous powerful sources of dark energy with large local cosmological constants. Those sources play role of the nurseries of multiverses. The situation is somewhat similar to the star formation and stellar nurseries in galaxies. In the latter case, it is related to the collapsing matter in giant molecular clouds. Notice that, in our constructions, the dark energy is a higher-dimensional phenomenon of the Hyperverse.

Hyperverse, 5-dimensional Gravity and Multiverses: Dark Energy and Multiversal Nurseries

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 6 Time-amalgamated multiverses

Hyperverse, 5-dimensional Gravity and Multiverses: Time-amalgamated Multiverses

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 5 Sequence of event horizons

Hyperverse, 5-dimensional Gravity and Multiverses: Sequence of Event Horizons

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 4 Harmony of transcosmic spheres

Hyperverse, 5-dimensional Gravity and Multiverses: Harmony of Transcosmic Spheres

This paper is available on arxiv under CC 4.0 license. Authors: (1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier. Table of Links Abstract and Introduction 5-dimensional Einstein Equations Nested Gogberashvili Models Harmony of Transcosmic Spheres Sequence of Event Horizons Time-amalgamated Multiverses Dark Energy and Multiversal Nurseries Black Holes as Multiverses Multi-solitonic and Gyratonic Gravitational Waves Elliptic and Spiral Galaxies Cosmological Coupling Conclusion and References 3 Nested Gogberashvili models

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