Casimir effect in a 4-dimensional Schwarzschild spacetime in third order Lovelock gravity

被引：0
作者：
Toledo, J. M. [1 ]
Bezerra, V. B. [1 ]
机构：
[1] Univ Fed Paraiba, Dept Fis, CCEN, Caixa Postal 5008, Joao Pessoa, PB, Brazil
来源：
ANNALS OF PHYSICS | 2019年 / 400卷
关键词：
Casimir energy; Lovelock gravity; Schwarzschild spacetime; Thermal corrections; QUANTUM VACUUM ENERGY; THERMODYNAMICS; FIELDS;
D O I：
10.1016/j.aop.2018.11.011
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the normalized vacuum energy density for a massless scalar field confined in a region limited by two parallel plates, placed in the background spacetime generated by a black hole in third order Lovelock gravity, in four dimensions, in the weak field approximation. The obtained result is compared with the similar one in the framework of general relativity. We also calculate the thermal corrections to the Casimir energy for both contexts, namely, general relativity and third order Lovelock gravity. Thus, we analyze and compare the regimes of low and high temperatures for both cases. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：208 / 220
页数：13
相关论文
共 57 条
  • [1] SPINOR FIELDS IN AN EINSTEIN UNIVERSE - FINITE-TEMPERATURE EFFECTS
    ALTAIE, MB
    DOWKER, JS
    [J]. PHYSICAL REVIEW D, 1978, 18 (10): : 3557 - 3564
  • [2] [Anonymous], ARXIV180504327
  • [3] Strong Constraints on Cosmological Gravity from GW170817 and GRB 170817A
    Baker, T.
    Bellini, E.
    Ferreira, P. G.
    Lagos, M.
    Noller, J.
    Sawicki, I.
    [J]. PHYSICAL REVIEW LETTERS, 2017, 119 (25)
  • [4] CASIMIR ENERGY IN A CURVED BACKGROUND WITH A SPHERICAL BOUNDARY - AN EXACTLY SOLVABLE CASE
    BAYIN, SS
    OZCAN, M
    [J]. PHYSICAL REVIEW D, 1993, 48 (06) : 2806 - 2812
  • [5] Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons
    Bezerra, V. B.
    Christiansen, H. R.
    Cunha, M. S.
    Muniz, C. R.
    Tahim, M. O.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (11):
  • [6] Thermal Casimir effect for neutrino and electromagnetic fields in the closed Friedmann cosmological model
    Bezerra, V. B.
    Mostepanenko, V. M.
    Mota, H. F.
    Romero, C.
    [J]. PHYSICAL REVIEW D, 2011, 84 (10)
  • [7] Thermal Casimir effect in closed Friedmann universe revisited
    Bezerra, V. B.
    Klimchitskaya, G. L.
    Mostepanenko, V. M.
    Romero, C.
    [J]. PHYSICAL REVIEW D, 2011, 83 (10)
  • [8] Casimir energies for massive scalar fields in a spherical geometry
    Bordag, M
    Elizalde, E
    Kirsten, K
    Leseduarte, S
    [J]. PHYSICAL REVIEW D, 1997, 56 (08): : 4896 - 4904
  • [9] Bordag M., 2009, ADV CASIMIR EFFECT, V145
  • [10] A note on thermodynamics of black holes in Lovelock gravity
    Cai, RG
    [J]. PHYSICS LETTERS B, 2004, 582 (3-4) : 237 - 242
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