Cosmological solutions in multidimensional model with multiple exponential potential

A family of cosmological solutions with (n+ 1) Ricci-flat spaces in the theory with several scalar fields and multiple exponential potential is obtained when coupling vectors in exponents obey certain relations. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. It is proved that power-law solutions may take place only when coupling vectors are linearly independent and exponential dependence occurs for linearly dependent set of coupling vectors. A subfamily of solutions with accelerated expansion is singled out. A generalized isotropization behaviours of certain classes of general solutions are found. In quantum case exact solutions to Wheeler-DeWitt equation are obtained and special "ground state" wave functions are considered. © SISSA/ISAS 2003.

Авторы
Ivashchuk V.D.1 , Melnikov V.N.1 , Selivanov A.B. 2
Редакторы
-
Издательство
-
Номер выпуска
9
Язык
Английский
Страницы
1359-1379
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
-
Том
7
Год
2003
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 3-1 M. Ulyanovoy Str., Moscow, 119313, Russian Federation
  • 2 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, 6 Miklukho-Maklaya Str., Moscow 117198, Russian Federation
Ключевые слова
Classical Theories of Gravity; Models of Quantum Gravity; Sigma Models
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/42/