Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
Minisuperspace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent <i>observable</i> and <i>non-observable</i> universes. Here we discuss theories of gravity which, from various points of view...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/8/3/177 |
| _version_ | 1797441264741777408 |
|---|---|
| author | Salvatore Capozziello Francesco Bajardi |
| author_facet | Salvatore Capozziello Francesco Bajardi |
| author_sort | Salvatore Capozziello |
| collection | DOAJ |
| description | Minisuperspace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent <i>observable</i> and <i>non-observable</i> universes. Here we discuss theories of gravity which, from various points of view, extend Einstein’s General Relativity. Specifically, the Hamiltonian formalism for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi mathvariant="script">G</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity, with <i>R</i>, <i>T</i>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula> being the curvature, torsion and Gauss–Bonnet scalars, respectively, is developed starting from the Arnowitt–Deser–Misner approach. The Minisuperspace Quantum Cosmology is derived for all these models and cosmological solutions are obtained thanks to the existence of Noether symmetries. The Hartle criterion allows the interpretation of solutions in view of observable universes. |
| first_indexed | 2024-03-09T12:20:33Z |
| format | Article |
| id | doaj.art-21591750fc464b6e93b6bc3c6c0bf0e5 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:20:33Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-21591750fc464b6e93b6bc3c6c0bf0e52023-11-30T22:40:52ZengMDPI AGUniverse2218-19972022-03-018317710.3390/universe8030177Minisuperspace Quantum Cosmology in Metric and Affine Theories of GravitySalvatore Capozziello0Francesco Bajardi1Scuola Superiore Meridionale, Largo San Marcellino 10, I-80138 Naples, ItalyScuola Superiore Meridionale, Largo San Marcellino 10, I-80138 Naples, ItalyMinisuperspace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent <i>observable</i> and <i>non-observable</i> universes. Here we discuss theories of gravity which, from various points of view, extend Einstein’s General Relativity. Specifically, the Hamiltonian formalism for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>)</mo></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi mathvariant="script">G</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity, with <i>R</i>, <i>T</i>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">G</mi></semantics></math></inline-formula> being the curvature, torsion and Gauss–Bonnet scalars, respectively, is developed starting from the Arnowitt–Deser–Misner approach. The Minisuperspace Quantum Cosmology is derived for all these models and cosmological solutions are obtained thanks to the existence of Noether symmetries. The Hartle criterion allows the interpretation of solutions in view of observable universes.https://www.mdpi.com/2218-1997/8/3/177quantum cosmologynoether symmetriesADM formalismexact solutions |
| spellingShingle | Salvatore Capozziello Francesco Bajardi Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity Universe quantum cosmology noether symmetries ADM formalism exact solutions |
| title | Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity |
| title_full | Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity |
| title_fullStr | Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity |
| title_full_unstemmed | Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity |
| title_short | Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity |
| title_sort | minisuperspace quantum cosmology in metric and affine theories of gravity |
| topic | quantum cosmology noether symmetries ADM formalism exact solutions |
| url | https://www.mdpi.com/2218-1997/8/3/177 |
| work_keys_str_mv | AT salvatorecapozziello minisuperspacequantumcosmologyinmetricandaffinetheoriesofgravity AT francescobajardi minisuperspacequantumcosmologyinmetricandaffinetheoriesofgravity |