The solution of a modified Hamilton–Jacobi equation with Lorentz-violating scalar field
A modified Hamilton–Jacobi equation with Lorentz-violating scalar field in the curved spacetime is used to research tunneling radiation from the horizons of Reissner–Nordstr o ¨ m de Sitter black hole. We investigate the influence of different etheric-like vector u α on the solution of the modified...
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| Published in | General relativity and gravitation Vol. 52; no. 11 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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01.11.2020
Springer Nature B.V |
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| Abstract | A modified Hamilton–Jacobi equation with Lorentz-violating scalar field in the curved spacetime is used to research tunneling radiation from the horizons of Reissner–Nordstr
o
¨
m de Sitter black hole. We investigate the influence of different etheric-like vector
u
α
on the solution of the modified Hamilton–Jacobi equation by using both the semi-classical approximation and beyond the semi-classical approximation. We find that the solution of the modified Hamilton–Jacobi equation strongly depends on the choices of
u
α
. As
u
α
=
δ
t
α
u
t
, the Lorentz-violating scalar field can enhances black holes’ Hawking temperature but reduces its entropy. However, the case will reverses as
u
α
=
δ
r
α
u
r
. Our conclusions are applicable to other spherically symmetric charged black holes. |
|---|---|
| AbstractList | A modified Hamilton–Jacobi equation with Lorentz-violating scalar field in the curved spacetime is used to research tunneling radiation from the horizons of Reissner–Nordstr
o
¨
m de Sitter black hole. We investigate the influence of different etheric-like vector
u
α
on the solution of the modified Hamilton–Jacobi equation by using both the semi-classical approximation and beyond the semi-classical approximation. We find that the solution of the modified Hamilton–Jacobi equation strongly depends on the choices of
u
α
. As
u
α
=
δ
t
α
u
t
, the Lorentz-violating scalar field can enhances black holes’ Hawking temperature but reduces its entropy. However, the case will reverses as
u
α
=
δ
r
α
u
r
. Our conclusions are applicable to other spherically symmetric charged black holes. A modified Hamilton–Jacobi equation with Lorentz-violating scalar field in the curved spacetime is used to research tunneling radiation from the horizons of Reissner–Nordstro¨m de Sitter black hole. We investigate the influence of different etheric-like vector uα on the solution of the modified Hamilton–Jacobi equation by using both the semi-classical approximation and beyond the semi-classical approximation. We find that the solution of the modified Hamilton–Jacobi equation strongly depends on the choices of uα. As uα=δtαut, the Lorentz-violating scalar field can enhances black holes’ Hawking temperature but reduces its entropy. However, the case will reverses as uα=δrαur. Our conclusions are applicable to other spherically symmetric charged black holes. |
| ArticleNumber | 105 |
| Author | Liu, Yuzhen Zhang, Jie Liu, Menquan Tan, Xia Sha, Bei Liu, Zhie |
| Author_xml | – sequence: 1 givenname: Jie surname: Zhang fullname: Zhang, Jie email: zhangjie_mail@cqu.edu.cn organization: College of Physics and Electronic Engineering, Qilu Normal University – sequence: 2 givenname: Menquan surname: Liu fullname: Liu, Menquan organization: College of Physics and Electronic Engineering, Qilu Normal University – sequence: 3 givenname: Zhie surname: Liu fullname: Liu, Zhie organization: College of Physics and Electronic Engineering, Qilu Normal University – sequence: 4 givenname: Bei surname: Sha fullname: Sha, Bei organization: College of Physics and Electronic Engineering, Qilu Normal University – sequence: 5 givenname: Xia surname: Tan fullname: Tan, Xia organization: College of Physics and Electronic Engineering, Qilu Normal University – sequence: 6 givenname: Yuzhen surname: Liu fullname: Liu, Yuzhen organization: College of Physics and Electronic Engineering, Qilu Normal University |
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| Title | The solution of a modified Hamilton–Jacobi equation with Lorentz-violating scalar field |
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